@Preamble{
"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
}
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|[email protected]|,
\path|[email protected]|,
\path|[email protected]| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{j-ABSTR-APPL-ANAL = "Abstract and Applied Analysis"}
@String{j-ACTA-ARITHMETICA = "Acta Arithmetica"}
@String{j-ACTA-MATH = "Acta Mathematica"}
@String{j-AM-J-MATH = "American Journal of Mathematics"}
@String{j-AM-SCI = "American Scientist"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-MATH = "Annals of Mathematics"}
@String{j-ANN-MATH-2 = "Annals of Mathematics (2)"}
@String{j-ANN-MATH-STAT = "Annals of Mathematical Statistics"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-BIOMETRIKA = "Biometrika"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-BULL-LOND-MATH-SOC = "Bulletin of the London Mathematical Society"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics =
Journal canadien de math{\'e}matiques"}
@String{j-CAN-MATH-BULL = "Bulletin canadien de
math\-{\'e}\-mat\-iques = Canadian
Mathematical Bulletin"}
@String{j-COMBIN-PROBAB-COMPUT = "Combinatorics, Probability and Computing"}
@String{j-COMMUN-STAT-SIMUL-COMPUT = "Communications in Statistics: Simulation
and Computation"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMPOS-MATH = "Compositio Mathematica"}
@String{j-COMPUTING = "Computing: Archiv f{\"u}r informatik und
numerik"}
@String{j-CONG-NUM = "Congressus Numerantium"}
@String{j-CONST-APPROX = "Constructive Approximation"}
@String{j-CZECH-MATH-J = "Czechoslovak Mathematical Journal =
Chekhoslovatskii Matematicheskii Zhurnal"}
@String{j-DESIGNS-CODES-CRYPTOGR = "Designs, Codes, and Cryptography"}
@String{j-DUKE-MATH-J = "Duke Mathematical Journal"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis (ETNA)"}
@String{j-EXP-MATH = "Experimental Mathematics"}
@String{j-FIB-QUART = "Fibonacci Quarterly"}
@String{j-GLASG-MATH-J = "Glasgow Mathematical Journal"}
@String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital
Techniques"}
@String{j-IEEE-ANN-HIST-COMPUT = "IEEE Annals of the History of Computing"}
@String{j-IEEE-TRANS-ELEC-COMPUT = "IEEE Transactions on Electronic Computers"}
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@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INT-J-NUMBER-THEORY = "International Journal of Number Theory"}
@String{j-J-ACM = "Journal of the ACM"}
@String{j-J-ALGEBRA = "Journal of Algebra"}
@String{j-J-APPL-STAT = "Journal of Applied Statistics"}
@String{j-J-AUSTRALIAN-MATH-SOC = "Journal of the Australian Mathematical
Society"}
@String{j-J-AUSTRAL-MATH-SOC-SER-A = "Journal of the Australian Mathematical
Society. Series A"}
@String{j-J-COMB-THEORY-A = "Journal of Combinatorial Theory (Series A)"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-LOND-MATH-SOC = "Journal of the London Mathematical Society"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
@String{j-J-NUMBER-THEORY = "Journal of Number Theory"}
@String{j-J-REINE-ANGEW-MATH = "{Journal f{\"u}r die reine und angewandte
Mathematik}"}
@String{j-J-WASH-ACAD-SCI = "Journal of the Washington Academy of
Sciences"}
@String{j-J-SIAM = "Journal of the Society for Industrial and
Applied Mathematics"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-JAPAN-J-MATH-N-S = "Japanese Journal of Mathematics. New Series"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LIN-AND-MULT-ALGEBRA = "Linear and Multilinear Algebra"}
@String{j-LMS-J-COMPUT-MATH = "LMS Journal of Computation and Mathematics"}
@String{j-MATH-ANN = "Mathematische Annalen"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-GAZ = "The Mathematical Gazette"}
@String{j-MATH-MAG = "Mathematics Magazine"}
@String{j-MATH-NACHR = "{Mathematische Nachrichten}"}
@String{j-MATH-REV = "Mathematical Reviews"}
@String{j-MATH-STUDENT = "The Mathematics Student"}
@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
to Computation"}
@String{j-MATHEMATIKA = "Mathematika"}
@String{j-MONAT-MATH = "{Monatshefte f{\"u}r Mathematik}"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NUM-MATH = "{Numerische Mathematik}"}
@String{j-PAC-J-APPL-MATH = "Pacific Journal of Applied Mathematics"}
@String{j-PAC-J-MATH = "Pacific Journal of Mathematics"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROC-LONDON-MATH-SOC-3 = "Proc. London Math. Soc. (2)"}
@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
Sciences of the United States of America"}
@String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"}
@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}
@String{j-SCIENCE = "Science"}
@String{j-SCRIPTA-MATH = "Scripta Mathematica"}
@String{j-SIAM-J-COMPUT = "SIAM Journal on Computing"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical
Society"}
@String{j-UTIL-MATH = "Utilitas Mathematica"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr = "Cambridge, UK"}
@String{pub-DEKKER = "Marcel Dekker"}
@String{pub-DEKKER:adr = "New York, NY, USA"}
@String{pub-DOVER = "Dover"}
@String{pub-DOVER:adr = "New York, NY, USA"}
@String{pub-HARVARD = "Harvard University Press"}
@String{pub-HARVARD:adr = "Cambridge, MA, USA"}
@String{pub-MAA = "Mathematical Association of America"}
@String{pub-MAA:adr = "Washington, DC, USA"}
@String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr = "New York, NY, USA"}
@String{pub-NORTH-HOLLAND = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-PRINCETON = "Princeton University Press"}
@String{pub-PRINCETON:adr = "Princeton, NJ, USA"}
@String{pub-STANFORD = "Stanford University Press"}
@String{pub-STANFORD:adr = "Stanford, CA, USA"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{pub-WI = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WI:adr = "New York, NY, USA"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@Article{Lehmer:1925:QDD,
author = "Derrick Henry Lehmer",
title = "Questions and Discussions: Discussions: On the Use of
the Calculating Machine for Cube and Fifth Roots",
journal = j-AMER-MATH-MONTHLY,
volume = "32",
number = "7",
pages = "377--379",
month = aug # "\slash " # sep,
year = "1925",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2298804",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1520737",
bibdate = "Mon Jun 28 12:37:45 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1926:CDP,
author = "Derrick Henry Lehmer",
title = "A Cross-Division Process and its Application to the
Extraction of Roots",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "4",
pages = "198--206",
month = apr,
year = "1926",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2299536",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1520908",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1926:IE,
author = "Derrick Henry Lehmer",
title = "On the indeterminate equation {$ t^2 - p^2 D u^2 = 1
$}",
journal = j-ANN-MATH-2,
volume = "27",
number = "4",
pages = "471--476",
year = "1926",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1967697",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1502749",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1926:PSPa,
author = "D. H. Lehmer",
title = "Problems and Solutions: Problems for Solution: 3206",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "7",
pages = "385--385",
month = aug # "\slash " # sep,
year = "1926",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:08 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
note = "See also
\cite{Andrew:1927:PSS,Bullard:1927:PSS,Lehmer:1929:PSS,Mills:1927:PSS,Spunar:1927:PSS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1926:PSPb,
author = "D. H. Lehmer",
title = "Problems and Solutions: Problems for Solution: 3182",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "5",
pages = "278--279",
month = may,
year = "1926",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
note = "See also
\cite{Fitch:1961:APS,Irwin:1927:PSS,Riley:1927:PSSb}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Lehmer:1926:VNB,
author = "Derrick Henry Lehmer",
title = "On the Value of the {Napierian} Base",
journal = j-AM-J-MATH,
volume = "48",
number = "2",
pages = "139--143",
year = "1926",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2370743",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "DML",
MRnumber = "1506580",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1927:PSS,
author = "D. H. Lehmer",
title = "Problems and Solutions: Solutions: 3194",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "381--382",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1927:TPC,
author = "D. H. Lehmer",
title = "Tests for primality by the converse of {Fermat}'s
theorem",
journal = j-BULL-AMS,
volume = "33",
number = "3",
pages = "327--340",
year = "1927",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1927-04368-3",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1561374",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Spunar:1927:PSS,
author = "V. M. Spunar and D. H. Lehmer",
title = "Problems and Solutions: Solutions: 3208",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "6",
pages = "339--339",
month = jun # "\slash " # jul,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:28 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1928:MCL,
author = "D. H. Lehmer",
title = "The Mechanical Combination of Linear Forms",
journal = j-AMER-MATH-MONTHLY,
volume = "35",
number = "3",
pages = "114--121",
month = mar,
year = "1928",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2299504",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1521394",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1928:MSP,
author = "D. H. Lehmer",
title = "On the multiple solutions of the {Pell} equation",
journal = j-ANN-MATH-2,
volume = "30",
number = "1-4",
pages = "66--72",
year = "1928/29",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968268",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1502870",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1929:PSS,
author = "D. H. Lehmer",
title = "Problems and Solutions: Solutions: 3206",
journal = j-AMER-MATH-MONTHLY,
volume = "36",
number = "3",
pages = "173--173",
month = mar,
year = "1929",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1929:SDS,
author = "D. H. Lehmer",
title = "On {Stern}'s Diatomic Series",
journal = j-AMER-MATH-MONTHLY,
volume = "36",
number = "2",
pages = "59--67",
month = feb,
year = "1929",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2299356",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1521653",
bibdate = "Mon Jun 28 12:39:03 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Irwin:1930:PSS,
author = "Frank Irwin and Emma T. Lehmer",
title = "Problems and Solutions: Solutions: 3350",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "9",
pages = "508--510",
month = nov,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Corey:1928:PSP}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1930:DAS,
author = "D. H. Lehmer",
title = "The $p$ Dimensional Analogue of {Smith}'s
Determinant",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "6",
pages = "294--296",
month = jun # "\slash " # jul,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:55 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1930:DN,
author = "D. H. Lehmer",
title = "On the $r$-th Divisors of a Number",
journal = j-AM-J-MATH,
volume = "52",
number = "2",
pages = "293--304",
year = "1930",
CODEN = "AJMAAN",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2370684",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1930:ETLa,
author = "D. H. Lehmer",
title = "An extended theory of {Lucas}' functions",
journal = j-ANN-MATH-2,
volume = "31",
number = "3",
pages = "419--448",
year = "1930",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968235",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1502953",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@PhdThesis{Lehmer:1930:ETLb,
author = "Derrick Henry Lehmer",
title = "An Extended Theory of {Lucas}' Functions",
type = "Thesis ({Ph.D.})",
school = "Brown University",
address = "Providence, RI, USA",
pages = "30",
year = "1930",
MRclass = "Thesis",
MRnumber = "2936243",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.proquest.com/docview/301779711/EB0B951CDB47418APQ",
acknowledgement = ack-nhfb,
advisor = "Jacob David Tamarkin",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Wong:1930:PSS,
author = "B. C. Wong and Emma T. Lehmer",
title = "Problems and Solutions: Solutions: 3414",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "558--558",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1931:ADS,
author = "D. H. Lehmer",
title = "Arithmetic of double series",
journal = j-TRANS-AM-MATH-SOC,
volume = "33",
number = "4",
pages = "945--957",
year = "1931",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1989517",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11A25",
MRnumber = "1501625",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Lehmer:1931:FLN,
author = "D. H. Lehmer and R. E. Powers",
title = "On factoring large numbers",
journal = j-BULL-AMS,
volume = "37",
number = "10",
pages = "770--776",
year = "1931",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1931-05271-X",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562254",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1931:NCN,
author = "D. H. Lehmer",
title = "A New Calculus of Numerical Functions",
journal = j-AM-J-MATH,
volume = "53",
number = "4",
pages = "843--854",
year = "1931",
CODEN = "AJMAAN",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2371229",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1931:PSP,
author = "Emma T. Lehmer and Vladimir F. Ivanoff and Nathan
Altshiller-Court",
title = "Problems and Solutions: Problems for Solution:
3475--3478",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "2",
pages = "111--112",
month = feb,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:08 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also
\cite{Altshiller-Court:1932:PSSa,Ivanoff:1932:PSSa,Ivanoff:1932:PSSb}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1932:APB,
author = "D. H. Lehmer",
title = "Arithmetical periodicities of {Bessel} functions",
journal = j-ANN-MATH-2,
volume = "33",
number = "1",
pages = "143--150",
year = "1932",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968107",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1503040",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1932:ETF,
author = "D. H. Lehmer",
title = "On {Euler}'s totient function",
journal = j-BULL-AMS,
volume = "38",
number = "10",
pages = "745--751",
year = "1932",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1932-05521-5",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562500",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1932:NFL,
author = "D. H. Lehmer",
title = "A note on {Fermat's Last Theorem}",
journal = j-BULL-AMS,
volume = "38",
number = "10",
pages = "723--724",
year = "1932",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1932-05515-X",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562496",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1932:NMN,
author = "D. H. Lehmer",
title = "Note on {Mersenne} numbers",
journal = j-BULL-AMS,
volume = "38",
number = "6",
pages = "383--384",
year = "1932",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1932-05396-4",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562402",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1932:QCP,
author = "D. H. Lehmer",
title = "Quasi-Cyclotomic Polynomials",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "7",
pages = "383--389",
month = aug # "\slash " # sep,
year = "1932",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2300384",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1522570",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1932:TAA,
author = "D. H. Lehmer",
title = "A Ternary Analogue of {Abelian} Groups",
journal = j-AM-J-MATH,
volume = "54",
number = "2",
pages = "329--338",
year = "1932",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2370997",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "DML",
MRnumber = "1506898",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1933:FCC,
author = "D. H. Lehmer",
title = "Factorization of Certain Cyclotomic Functions",
journal = j-ANN-MATH,
volume = "34",
number = "3",
pages = "461--479",
year = "1933",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968172",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1503118",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/1968172",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Annals of Mathematics",
journal-URL = "http://annals.math.princeton.edu/;
http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1933:NNT,
author = "D. H. Lehmer",
title = "Numerical Notations and Their Influence on
Mathematics",
journal = "Math. News Lett.",
volume = "7",
number = "6",
pages = "8--12",
year = "1933",
ISSN = "1539-557X",
MRclass = "DML",
MRnumber = "1569053",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/3027767?origin=pubexport",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics News Letter",
}
@Article{Lehmer:1933:NTA,
author = "D. H. Lehmer",
title = "A Note on Trigonometric Algebraic Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "3",
pages = "165--166",
year = "1933",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2301023",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1933:PEN,
author = "D. H. Lehmer",
title = "A Photo-Electric Number Sieve",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "7",
pages = "401--406",
month = aug # "\slash " # sep,
year = "1933",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302134",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1522863",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See corrigenda \cite{Anonymous:1933:CPE}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1933:QDN,
author = "D. H. Lehmer",
title = "Questions, Discussions, and Notes: {A} Note on
Trigonometric Algebraic Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "3",
pages = "165--166",
month = mar,
year = "1933",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2301023",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1522747",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1933:SNF,
author = "D. H. Lehmer",
title = "Some new factorizations of $ 2^n \pm 1 $",
journal = j-BULL-AMS,
volume = "39",
number = "2",
pages = "105--108",
year = "1933",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1933-05571-4",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562560",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1934:MCS,
author = "D. H. Lehmer",
title = "A machine for combining sets of linear congruences",
journal = j-MATH-ANN,
volume = "109",
number = "1",
pages = "661--667",
year = "1934",
CODEN = "MAANA3",
DOI = "https://doi.org/10.1007/BF01449160",
ISSN = "0025-5831 (print), 1432-1807 (electronic)",
ISSN-L = "0025-5831",
MRclass = "DML",
MRnumber = "1512915",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematische Annalen",
journal-URL = "http://link.springer.com/journal/208",
}
@Article{Gloden:1935:PSE,
author = "A. Gloden and D. H. Lehmer and V. Th{\'e}bault and M.
O. Reade and C. A. Richmond and W. F. {Cheney, Jr.}",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E181}--{E186}",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "10",
pages = "621--622",
month = dec,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:00 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also
\cite{Cheney:1936:PSEe,Gloden:1936:PSEb,Lehmer:1936:PSEb,Reade:1936:PSE,Richmond:1936:PSE,Richmond:1937:PSE,Thebault:1936:PSEe}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1935:LRF,
author = "D. H. Lehmer",
title = "Lacunary recurrence formulas for the numbers of
{Bernoulli} and {Euler}",
journal = j-ANN-MATH-2,
volume = "36",
number = "3",
pages = "637--649",
year = "1935",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968647",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1503241",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1935:LTP,
author = "D. H. Lehmer",
title = "On {Lucas}'s Test for the Primality of {Mersenne}'s
Numbers",
journal = j-J-LOND-MATH-SOC,
volume = "s1-10",
number = "3",
pages = "162--165",
month = jul,
year = "1935",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-10.2.162",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Mon Jan 31 10:10:16 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1936:BRB,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{British Association
Mathematical Tables. Vol. V. Factor Table}}. By J.
Peters, A. Lodge and E. J. Ternouth, E. Gifford. xv +
291 pp. London, 1935. 20s.}",
journal = j-SCIENCE,
volume = "84",
number = "2189",
pages = "535--536",
day = "11",
month = dec,
year = "1936",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.84.2189.535.b",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Mon Jan 31 10:35:25 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Lehmer:1936:CFT,
author = "D. H. Lehmer",
title = "On the Converse of {Fermat's Theorem}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "347--354",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2301798",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1523680",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1936:CR,
author = "D. H. Lehmer",
title = "On a Conjecture of {Ramanujan}",
journal = j-J-LOND-MATH-SOC,
volume = "s1-11",
number = "2",
pages = "114--118",
month = apr,
year = "1936",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-11.2.114",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Mon Jan 31 10:08:35 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1936:ETB,
author = "D. H. Lehmer",
title = "An extension of the table of {Bernoulli} numbers",
journal = j-DUKE-MATH-J,
volume = "2",
number = "3",
pages = "460--464",
year = "1936",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-36-00238-7",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "DML",
MRnumber = "1545938",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1936:PAC,
author = "D. H. Lehmer",
title = "Polynomials for the $n$-Ary Composition of Numerical
Functions",
journal = j-AM-J-MATH,
volume = "58",
number = "3",
pages = "563--572",
year = "1936",
CODEN = "AJMAAN",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2370974",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1936:PSA,
author = "D. H. Lehmer and Frank {Ayres, Jr.} and N. A. Court
and R. E. Gaines and R. Goormaghtigh",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3801--3806",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "9",
pages = "580--581",
month = nov,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:19 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also
\cite{Ayres:1938:PSA,Court:1938:PSAc,Gaines:1938:PSA,Lehmer:1938:PSA,Lehmer:1938:PSS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1936:PSEa,
author = "Emma Lehmer and L. S. Johnston and V. Th{\'e}bault and
G. A. Whittemore and J. M. Feld and S. A. Anderson",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E205}--{E210}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "4",
pages = "241--242",
month = apr,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:08 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also
\cite{Anderson:1936:PSE,Feld:1936:PSEc,Johnston:1936:PSE,Lehmer:1936:PSEc,Thebault:1936:PSEj,Whittemore:1936:PSE,Whittemore:1938:PSE}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1936:PSEb,
author = "D. H. Lehmer and E. P. Starke",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E182}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "5",
pages = "307--308",
month = may,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:10 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1936:PSEc,
author = "Emma Lehmer and Frank {Ayres, Jr.}",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E205}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "639--640",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1937:HRS,
author = "D. H. Lehmer",
title = "On the {Hardy--Ramanujan} Series for the Partition
Function",
journal = j-J-LOND-MATH-SOC,
volume = "s1-12",
number = "3",
pages = "171--176",
month = jul,
year = "1937",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-12.2.171",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Mon Jan 31 10:11:47 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1937:N,
author = "D. H. Lehmer",
title = "A Note on $ m^2 = n! + 1 $",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "3",
pages = "166--167",
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2301663",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1937:QDNa,
author = "D. H. Lehmer",
title = "Questions, Discussions, and Notes: {A} Note on $ m^2 =
n! + 1 $",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "3",
pages = "166--167",
month = mar,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:28 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1937:QDNb,
author = "Emma Lehmer",
title = "Questions, Discussions, and Notes: {A} Note on
{Wilson}'s Quotient",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "4",
pages = "237--238",
month = apr,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1937:QDNc,
author = "Emma Lehmer",
title = "Questions, Discussions, and Notes: On the Congruence $
(p - 1)! \equiv - 1 (\bmod p^2) $",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "7",
pages = "462--462",
month = aug # "\slash " # sep,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:37 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1937:RPR,
author = "D. N. Lehmer",
title = "Recent Publications: Reviews: {{\em Construction,
Classification and Census of Magic Squares of Even
Order}}, by {A. L. Candy}",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "8",
pages = "528--528",
month = oct,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:39 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wallace:1937:PSA,
author = "Don Wallace and Emma Lehmer and Paul Erd{\H{o}}s and
H. P. Thielman and J. R. Musselman and V.
Th{\'e}bault",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3832--3840",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "6",
pages = "393--395",
month = jun # "\slash " # jul,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:35 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also
\cite{Erdos:1958:APSa,Lehmer:1939:PSA,Musselman:1939:PSAb,Thebault:1939:PSAh,Thebault:1940:PSAk,Thielman:1939:PSS,Thielman:1940:PSA,Wallace:1939:PSSb}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Alfieri:1938:PSEa,
author = "F. A. Alfieri and J. E. Trevor and W. F. {Cheney, Jr.}
and N. A. Court and Joseph Rosenbaum and D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E315}--{E320}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "2",
pages = "117--118",
month = feb,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:48 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also
\cite{Alfieri:1938:PSEd,Cheney:1938:PSEc,Court:1938:PSEc,Lehmer:1939:PSE,Rosenbaum:1938:PSEb,Trevor:1938:PSEb}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ayres:1938:PSA,
author = "Frank {Ayres, Jr.} and Emma Lehmer",
title = "Problems and Solutions: Advanced Problems: 3803",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "633--634",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Finkel:1938:PSE,
author = "Daniel Finkel and Emma Lehmer",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E300}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "320--321",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1938:ARa,
author = "D. H. Lehmer",
title = "On Arccotangent Relations for $ \pi $",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "657--664",
month = dec,
year = "1938",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302434",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1524440",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR
database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1938:ASM,
author = "D. H. Lehmer",
title = "An application of {Schl{\"a}fli}'s modular equation to
a conjecture of {Ramanujan}",
journal = j-BULL-AMS,
volume = "44",
number = "2",
pages = "84--90",
year = "1938",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1938-06690-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1563687",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1938:CAC,
author = "D. H. Lehmer",
title = "A cotangent analogue of continued fractions",
journal = j-DUKE-MATH-J,
volume = "4",
number = "2",
pages = "323--340",
year = "1938",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-38-00424-7",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "DML",
MRnumber = "1546053",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1938:EAL,
author = "D. H. Lehmer",
title = "{Euclid}'s Algorithm for Large Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "4",
pages = "227--233",
year = "1938",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302607",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1524250",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1938:PSA,
author = "D. H. Lehmer and M. T. Bird",
title = "Problems and Solutions: Advanced Problems: 3802",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "632--633",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1938:PSE,
author = "D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems:
Solutions: {Euclid}'s Algorithm for Large Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "4",
pages = "227--233",
month = apr,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1938:PSS,
author = "D. H. Lehmer and M. A. Heaslet",
title = "Problems and Solutions: Solutions: 3801",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "636--637",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1938:SPF,
author = "D. H. Lehmer",
title = "On the series for the partition function",
journal = j-TRANS-AM-MATH-SOC,
volume = "43",
number = "2",
pages = "271--295",
year = "1938",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1990043",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11P82",
MRnumber = "1501943",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Erdos:1939:PSAb,
author = "Paul Erd{\H{o}}s and Emma Lehmer",
title = "Problems and Solutions: Advanced Problems: 3820",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "4",
pages = "240--241",
month = apr,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@TechReport{Lehmer:1939:FS,
author = "D. H. Lehmer",
title = "Factor Stencils",
type = "Report",
institution = "Carnegie Institution of Washington",
address = "Washington, DC, USA",
year = "1939",
bibdate = "Thu Nov 02 15:59:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
remark = "Describes a punched card system with photoelectric
sensors for identifying primes, processing about
300,000 numbers per minute. A fully electronic version
in 1965 processed 1,000,000 numbers per second. See
\cite[page 273]{Goldstine:1993:CPN}.",
}
@Article{Lehmer:1939:FTA,
author = "D. H. Lehmer",
title = "A factorization theorem applied to a test for
primality",
journal = j-BULL-AMS,
volume = "45",
number = "2",
pages = "132--137",
year = "1939",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1939-06917-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1563926",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1939:NAC,
author = "D. H. Lehmer",
title = "Note on an Absolute Constant of {Khintchine}",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "3",
pages = "148--152",
month = mar,
year = "1939",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302463",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1524526",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1939:PSA,
author = "Emma Lehmer",
title = "Problems and Solutions: Advanced Problems: 3833",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "8",
pages = "516--517",
month = oct,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:26 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1939:PSE,
author = "D. H. Lehmer and K. W. Miller",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E320}",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "1",
pages = "49--52",
month = jan,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:10 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1939:RCS,
author = "D. H. Lehmer",
title = "On the remainders and convergence of the series for
the partition function",
journal = j-TRANS-AM-MATH-SOC,
volume = "46",
pages = "362--373",
year = "1939",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1989927",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "10.0X",
MRnumber = "410",
MRreviewer = "H. Rademacher",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Lehmer:1940:LPD,
author = "D. H. Lehmer",
title = "The lattice points of an $n$-dimensional tetrahedron",
journal = j-DUKE-MATH-J,
volume = "7",
pages = "341--353",
year = "1940",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "10.0X",
MRnumber = "3013",
MRreviewer = "D. C. Spencer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077492260",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1940:MMB,
author = "D. H. Lehmer",
title = "On the Maxima and Minima of {Bernoulli} Polynomials",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "8",
pages = "533--538",
month = oct,
year = "1940",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2303833",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "33.0X",
MRnumber = "2378",
MRreviewer = "W. E. Milne",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Rufus:1940:PSEa,
author = "W. C. Rufus and V. Th{\'e}bault and A. Gloden and Ruth
Mason Ballard and Emma Lehmer",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E425}--{E429}, {E407}, {E409}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "6",
pages = "395--396",
month = jun # "\slash " # jul,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:55 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Browne:1941:PSEa,
author = "D. H. Browne and V. Th{\'e}bault and N. A. Court and
Emma Lehmer and L. S. Johnston",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E461}--{E465}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "3",
pages = "210--210",
month = mar,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:12 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also
\cite{Browne:1941:PSEb,Court:1942:PSEa,Johnston:1942:PSE,Lehmer:1942:PSE,Thebault:1941:PSEk}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1941:BRR,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Ramanujan. Twelve lectures
on subjects suggested by his life and work}}. By G. H.
Hardy. 236 pp. Cambridge: at the University Press,
1940. New York: The Macmillan Company, 1941. \$6.00}",
journal = j-SCIENCE,
volume = "92",
number = "2426",
pages = "620--621",
day = "27",
month = jun,
year = "1941",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.93.2426.620",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Mon Jan 31 10:31:58 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Lehmer:1941:FCF,
author = "D. H. Lehmer and Emma Lehmer",
title = "On the first case of {Fermat's Last Theorem}",
journal = j-BULL-AMS,
volume = "47",
pages = "139--142",
year = "1941",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1941-07393-3",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "3657",
MRreviewer = "R. D. James",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Book{Lehmer:1941:GTT,
author = "Derrick Henry Lehmer",
title = "Guide to Tables in the Theory of Numbers",
publisher = "National Research Council",
address = "Washington, DC, USA",
pages = "xiv + 177",
year = "1941",
MRclass = "10.0X",
MRnumber = "0003625",
MRreviewer = "R. D. Carmichael",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Bulletin of the National Research Council, No. 105",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1941:NLD,
author = "D. H. Lehmer",
title = "A Note on the Linear {Diophantine} Equation",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "4",
pages = "240--246",
month = apr,
year = "1941",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302718",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "3635",
MRreviewer = "R. D. James",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1941:PSE,
author = "Emma Lehmer and E. P. Starke",
title = "Problems and Solutions: Elementary Problems: {E429}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "3",
pages = "212--212",
month = mar,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:12 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1942:PCM,
author = "D. H. Lehmer",
title = "Properties of the coefficients of the modular
invariant {$ J(\tau) $}",
journal = j-AM-J-MATH,
volume = "64",
pages = "488--502",
year = "1942",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2371699",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "10.0X",
MRnumber = "6210",
MRreviewer = "H. S. Zuckerman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1942:PSE,
author = "Emma Lehmer",
title = "Problems and Solutions: Elementary Problems: {E464}",
journal = j-AMER-MATH-MONTHLY,
volume = "49",
number = "2",
pages = "121--122",
month = feb,
year = "1942",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:32 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1943:RF,
author = "D. H. Lehmer",
title = "{Ramanujan}'s function $ \tau (n) $",
journal = j-DUKE-MATH-J,
volume = "10",
pages = "483--492",
year = "1943",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "10.0X",
MRnumber = "8619",
MRreviewer = "H. S. Zuckerman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077472092",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1943:RFC,
author = "D. H. Lehmer",
title = "Recurrence formulas for certain divisor functions",
journal = j-BULL-AMS,
volume = "49",
pages = "150--156",
year = "1943",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1943-07880-9",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "7757",
MRreviewer = "R. D. James",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1943:TMP,
author = "D. H. Lehmer",
title = "Tables to Many Places of Decimals",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "1",
pages = "30--31",
year = "1943",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1944:ITP,
author = "Emma Lehmer",
title = "Inverse Tables of Probabilities of Errors of the
Second Kind",
journal = j-ANN-MATH-STAT,
volume = "15",
number = "4",
pages = "388--398",
month = dec,
year = "1944",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177731209",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "62.0X",
MRnumber = "0011411 (6,161h)",
MRreviewer = "J. Wolfowitz",
bibdate = "Sat May 31 09:10:32 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/annmathstat.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177731209",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Lehmer:1944:NCB,
author = "Derrick Henry Lehmer",
title = "Note on the Computation of the {Bessel} Function {$
I_n(X) $}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "5",
pages = "133--135",
month = apr,
year = "1944",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-44-99053-8",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "Original journal has only `D. H. L.' as author:
probably D. H. Lehmer. AMS metadata now shows the full
name.",
}
@Article{Wall:1944:PSA,
author = "H. S. Wall and R. C. Buck and D. H. Lehmer",
title = "Problems and Solutions: Advanced Problems: 4067",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "6",
pages = "353--355",
month = jun # "\slash " # jul,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:27 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1945:GPA,
author = "D. H. Lehmer",
title = "The {Graeffe} process as applied to power series",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "10",
pages = "377--383",
month = apr,
year = "1945",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
MRclass = "65.0X",
MRnumber = "7,84a; 12913",
MRreviewer = "M. Marden",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Browne:1946:PSEa,
author = "D. H. Browne and Victor Th{\'e}bault and M. P. de Regt
and N. A. Court and D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E706}--{E710}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "2",
pages = "97--97",
month = feb,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also
\cite{Browne:1946:PSEc,Court:1946:PSEb,deRegt:1946:PSS,Lehmer:1946:PSE,Thebault:1946:PSSb}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1946:PSE,
author = "D. H. Lehmer and D. M. Smiley and M. F. Smiley and
John Williamson",
title = "Problems and Solutions: Elementary Problems: {E710}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "9",
pages = "534--535",
month = nov,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:19 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1946:TNT,
author = "D. H. Lehmer",
title = "Two nonexistence theorems on partitions",
journal = j-BULL-AMS,
volume = "52",
pages = "538--544",
year = "1946",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1946-08605-X",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "16072",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1947:F,
author = "D. H. Lehmer",
title = "On the factors of $ 2^n \pm 1 $",
journal = j-BULL-AMS,
volume = "53",
pages = "164--167",
year = "1947",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1947-08774-7",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "19635",
MRreviewer = "N. G. W. H. Beeger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1947:TEP,
author = "D. H. Lehmer",
title = "The {Tarry--Escott} problem",
journal = j-SCRIPTA-MATH,
volume = "13",
pages = "37--41",
year = "1947",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "21550",
MRreviewer = "N. G. W. H. Beeger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Scripta Mathematica",
}
@Article{Lehmer:1947:VRF,
author = "D. H. Lehmer",
title = "The vanishing of {Ramanujan}'s function $ \tau (n)
$",
journal = j-DUKE-MATH-J,
volume = "14",
pages = "429--433",
year = "1947",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "10.0X",
MRnumber = "21027",
MRreviewer = "R. A. Rankin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077474140",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Olds:1947:PSE,
author = "C. D. Olds and D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E760}",
journal = j-AMER-MATH-MONTHLY,
volume = "54",
number = "8",
pages = "478--478",
month = oct,
year = "1947",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:39 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also \cite{Olds:1947:EPS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1948:APS,
author = "Emma Lehmer",
title = "Advanced Problems and Solutions: Problems for
Solution: 4307",
journal = j-AMER-MATH-MONTHLY,
volume = "55",
number = "7",
pages = "431--432",
month = aug # "\slash " # sep,
year = "1948",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:00 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
note = "See also
\cite{Erdos:1962:APS,Goormaghtigh:1950:APSb,Lehmer:1950:APS,Sandham:1950:APSb,Wall:1950:APSb}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Lehmer:1948:CK,
author = "D. H. Lehmer",
title = "A conjecture of {Krishnaswami}",
journal = j-BULL-AMS,
volume = "54",
pages = "1185--1190",
year = "1948",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1948-09147-9",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "28333",
MRreviewer = "W. H. Simons",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1948:PNS,
author = "D. H. Lehmer",
title = "On the Partition of Numbers into Squares",
journal = j-AMER-MATH-MONTHLY,
volume = "55",
number = "8",
pages = "476--481",
month = oct,
year = "1948",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2305380",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "26661",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Courter:1949:PQ,
author = "G. W. Courter and W. R. Talbot and G. B. Knight and C.
N. Mills and D. H. Lehmer and Leo Moser and Norman
Anning and Victor Thebault and O. J. Ramler and Pedro
A. Piza and Raymond L. Krueger",
title = "Problems and Questions",
journal = j-MATH-MAG,
volume = "23",
number = "1",
pages = "33--37",
year = "1949",
CODEN = "MAMGA8",
ISSN = "0025-570X",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/3219263",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics Magazine",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
}
@Article{Lehmer:1949:BRE,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Eleven and fifteen-place
tables of Bessel functions of the first kind, to all
significant orders}} by Enzo Cambi, New York. Dover
Publications, 1948. vi + 154 p. \$3.95}",
journal = j-QUART-APPL-MATH,
volume = "7",
number = "2",
pages = "238--239",
month = jul,
year = "1949",
CODEN = "QAMAAY",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/43633371",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
reviewed-author = "Enzo Cambi",
}
@Article{Lehmer:1949:CFT,
author = "D. H. Lehmer",
title = "On the converse of {Fermat's Theorem}. {II}",
journal = j-AMER-MATH-MONTHLY,
volume = "56",
number = "5",
pages = "300--309",
month = may,
year = "1949",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2306041",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "29925",
MRreviewer = "N. G. W. H. Beeger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1950:AAD,
author = "D. H. Lehmer",
title = "Approximations to the area of an $n$-dimensional
ellipsoid",
journal = j-CAN-J-MATH,
volume = "2",
number = "??",
pages = "267--282",
month = "????",
year = "1950",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/cjm-1950-024-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "48.0X",
MRnumber = "36013; 0036013 (12,45g)",
MRreviewer = "P. Franklin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://cms.math.ca/cjm/v2/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1950:APS,
author = "Emma Lehmer and Martin Kneser",
title = "Advanced Problems and Solutions: 4307",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "269--269",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@InProceedings{Lehmer:1951:MML,
author = "D. H. Lehmer",
booktitle = "{Proceedings of a Second Symposium on Large-Scale
Digital Calculating Machinery, 1949}",
title = "Mathematical methods in large-scale computing units",
crossref = "Anonymous:1951:PSS",
pages = "141--146",
year = "1951",
MRclass = "65.0X",
MRnumber = "0044899 (13,495f)",
MRreviewer = "R. Hamming",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://archive.org/stream/proceedings_of_a_second_symposium_on_large-scale_/Proceedings_of_a_Second_Symposium_on_Large-Scale_Digital_Calculating_Machinery_Sep49_djvu.txt",
abstract = "The aim of this paper is to discuss in a general way
certain features of the mathematics that are
characteristic of the large scale digital computing
machines. Special attention is given to the problem of
generating random numbers. The author's proposal for
generating a sequence of ``random'' 8 decimal numbers $
u_n $ is to start with some number $ u_0 \neq 0 $,
multiply it by 23, and subtract the two digit overflow
on the left from the two right hand digits to obtain a
new number $ u_1 $. By repeating this process he
generates a sequence $ u_n $ which he shows has a
repetition period of 5,882,352. An IBM 602A was used to
generate 5000 numbers of such a sequence. Four standard
tests (unspecified) were applied to check the
``randomness'' and the sequence passed all four. The
author observes, however, that all of the members of
the sequence he chose were divisible by 17.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
HDnumber = "67",
xxauthor = "D. H. (Derrick Henry) Lehmer",
}
@Article{Lehmer:1951:RFR,
author = "D. H. Lehmer",
title = "{Ramanujan}'s function with respect to the modulus $
49 $",
journal = "Proc. Nat. Inst. Sci. India",
volume = "17",
pages = "67--70",
year = "1951",
ISSN = "0370-0860",
MRclass = "10.0X",
MRnumber = "43127",
MRreviewer = "L. Schoenfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Proceedings of the National Institute of Sciences of
India",
}
@Article{Lehmer:1951:TNF,
author = "D. H. Lehmer",
title = "A triangular number formula for the partition
function",
journal = j-SCRIPTA-MATH,
volume = "17",
pages = "17--19",
year = "1951",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "41869",
MRreviewer = "N. J. Fine",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Scripta Mathematica",
}
@Article{Lehmer:1953:RDS,
author = "Emma Lehmer",
title = "On residue difference sets",
journal = j-CAN-J-MATH,
volume = "5",
number = "??",
pages = "425--432",
month = "????",
year = "1953",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1953-047-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "10.0X",
MRnumber = "0056007 (15,10d)",
MRreviewer = "H. B. Mann",
bibdate = "Sat Sep 10 15:38:26 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v5/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1953:SPA,
author = "D. H. Lehmer",
title = "The sieve problem for all-purpose computers",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
pages = "6--14",
year = "1953",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "65.0X",
MRnumber = "52876",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Tables and other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1953:TNM,
author = "D. H. Lehmer",
title = "Two New {Mersenne} Primes",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
number = "41",
pages = "72--72",
month = jan,
year = "1953",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-53-99371-5",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Thu Feb 08 16:52:44 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "This 7-line note reports the discovery of Mersenne
primes of the form $ 2^n - 1 $ for $ n = 2203 $ and $ n
= 2281 $ on the SWAC computer on 7 and 9 October 1952.
It finishes with ``This makes 17 Mersenne primes, and a
corresponding number of perfect numbers, now known.
They are $ 2^n 1 $ for $ n = 2, 3, 5, 7, 13, 17, 19,
31, 61, 107, 127, 521, 607, 1279, 2203 $, and $ 2281
$.''",
}
@Article{Lehmer:1954:AHS,
author = "D. H. Lehmer and Emma Lehmer and H. S. Vandiver",
title = "An application of high-speed computing to {Fermat's
Last Theorem}",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "40",
pages = "25--33",
year = "1954",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.40.1.25",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "10.0X",
MRnumber = "61128",
MRreviewer = "R. Bellman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/content/by/year",
}
@Article{Lehmer:1954:CNO,
author = "Emma Lehmer",
title = "On the cyclotomic numbers of order sixteen",
journal = j-CAN-J-MATH,
volume = "6",
number = "??",
pages = "449--454",
month = "????",
year = "1954",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1954-046-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:26 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v6/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1954:DRN,
author = "D. H. Lehmer",
title = "Description of {``Random} number generation on the
{BRL} high-speed computing machines''",
journal = j-MATH-REV,
volume = "15",
number = "??",
pages = "559--559",
month = "????",
year = "1954",
CODEN = "MAREAR",
ISSN = "0025-5629",
bibdate = "Mon Jan 23 18:01:23 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Reviews",
}
@Article{Lehmer:1954:SPP,
author = "D. H. Lehmer",
title = "A sieve problem on``pseudo-squares.''",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
pages = "241--242",
year = "1954",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "10.0X",
MRnumber = "63388",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Tables and other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Carlitz:1955:APSb,
author = "Leonard Carlitz and Emma Lehmer",
title = "Advanced Problems and Solutions: Solutions: 4599",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "665--665",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Golomb:1955:APS,
author = "S. W. Golomb and D. H. and Emma Lehmer",
title = "Advanced Problems and Solutions: 4593",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "8",
pages = "590--591",
month = oct,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:59 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1955:APS,
author = "Emma Lehmer",
title = "Advanced Problems and Solutions: Problems for
Solution: 4636",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "4",
pages = "258--259",
month = apr,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:50 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib",
note = "See also
\cite{Babbitt:1956:APS,Briggs:1956:APS,Lehmer:1956:APS,Wang:1956:APS,Weissblum:1956:APS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Lehmer:1955:DT,
author = "D. H. Lehmer",
title = "The distribution of totatives",
journal = j-CAN-J-MATH,
volume = "7",
number = "??",
pages = "347--357",
month = "????",
year = "1955",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1955-038-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "10.0X",
MRnumber = "69199",
MRreviewer = "N. G. de Bruijn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://cms.math.ca/cjm/v7/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1956:APS,
author = "Emma Lehmer and Leonard Carlitz",
title = "Advanced Problems and Solutions: 4636",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "8",
pages = "584--587",
month = oct,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:22 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1956:CCM,
author = "D. H. Lehmer",
title = "On certain character matrices",
journal = j-PAC-J-MATH,
volume = "6",
pages = "491--499",
year = "1956",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "15.0X",
MRnumber = "85220",
MRreviewer = "W. Ledermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103043966",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Lehmer:1956:DE,
author = "D. H. Lehmer",
title = "On the {Diophantine} equation $ x^3 + y^3 + z^3 = 1
$",
journal = j-J-LOND-MATH-SOC,
volume = "31",
pages = "275--280",
year = "1956",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-31.3.275",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "10.1X",
MRnumber = "78397",
MRreviewer = "N. G. de Bruijn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1956:ECR,
author = "D. H. Lehmer",
title = "Extended computation of the {Riemann} zeta-function",
journal = j-MATHEMATIKA,
volume = "3",
pages = "102--108",
year = "1956",
CODEN = "MTKAAB",
DOI = "https://doi.org/10.1112/S0025579300001753",
ISSN = "0025-5793",
MRclass = "10.1X",
MRnumber = "86083",
MRreviewer = "L. Schoenfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematika. A Journal of Pure and Applied
Mathematics",
journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues",
}
@InCollection{Lehmer:1956:HSC,
author = "Derrick H. Lehmer",
title = "High-Speed Computing Devices and Their Applications",
crossref = "Beckenbach:1956:MME",
chapter = "19",
pages = "??--??",
year = "1956",
bibdate = "Fri Oct 27 07:33:05 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1956:LGS,
author = "Emma Lehmer",
title = "On the Location of {Gauss} Sums",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "10",
number = "56",
pages = "194--202",
month = oct,
year = "1956",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1956:RRZ,
author = "D. H. Lehmer",
title = "On the roots of the {Riemann} zeta-function",
journal = j-ACTA-MATH,
volume = "95",
number = "1",
pages = "291--298",
month = dec,
year = "1956",
CODEN = "ACMAA8",
DOI = "https://doi.org/10.1008/BF02401102",
ISSN = "0001-5962 (print), 1871-2509 (electronic)",
ISSN-L = "0001-5962",
MRclass = "10.1X",
MRnumber = "86082; 0086082 (19,121a)",
MRreviewer = "L. Schoenfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Acta Mathematica",
journal-URL = "http://link.springer.com/journal/11511",
remark-1 = "See \cite[references 38--39, page
54]{Bullynck:2015:CPT} for Turing's role in this work,
published two years after Turing's death in 1954.
Turing's incomplete work appears in
\cite{Turing:1953:SCR}.",
remark-2 = "From page 293: ``Plans to extend the work of
Titchmarsh [on the zeros of the Riemann zeta function]
by use of a differential analyzer were made in 1939 by
the late A. M. Turing. These were interrupted by the
war and later rendered obsolete by the advent of the
electronic digital computers.''",
remark-3 = "From page 293: ``In 1947 the writer programmed an
extension of the work of Titchmarsh [on the zeros of
the Riemann zeta function] for the ENIAC, the only
electronic computer then in operation. However, before
the program could be run, the ENIAC was drastically
modified thus rendering it useless for the problem.''",
remark-4 = "From page 293: ``In June 1950, Turing used the
Manchester University Mark 1 electronic digital
computer to examine the zeta-function for $24,937.96 <
t < 25,735.93$ (that is for $63 < \sqrt{\tau} < 6.4$)
and found in this region of the critical strip that
there are about 1070 simple zeros all with $a = 1/2$.
In another short run the validity of the Riemann
Hypothesis was verified between Titchmarsh's upper
limit of $t = 1468$ and $t = 1540$. Only some twenty
hours of machine time was used. Unfortunately no
further time was made available and these incomplete
results were published in 1953.''",
}
@Article{Lehmer:1957:APS,
author = "D. H. Lehmer and D. C. Russell",
title = "Advanced Problems and Solutions: 4675",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "122--123",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1957:CNL,
author = "D. H. Lehmer",
title = "Classroom Notes: {A} Low Energy Proof of the
Reciprocity Law",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "103--106",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1957:CNS,
author = "Emma Lehmer and H. S. Vandiver",
title = "On the Computation of the Number of Solutions of
Certain Trinomial Congruences",
journal = j-J-ACM,
volume = "4",
number = "4",
pages = "505--510",
month = oct,
year = "1957",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:10:03 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Lehmer:1957:LEP,
author = "D. H. Lehmer",
title = "A low energy proof of the reciprocity law",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
pages = "103--106",
year = "1957",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2310391",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "82992",
MRreviewer = "I. A. Barnett",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1957:SCR,
author = "D. H. Lehmer",
title = "Sorting Cards with Respect to a Modulus",
journal = j-J-ACM,
volume = "4",
number = "1",
pages = "41--46",
month = jan,
year = "1957",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 19:59:49 1994",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@InProceedings{Lehmer:1959:CPD,
author = "D. H. Lehmer",
title = "Combinatorial problems with digital computers",
crossref = "Macphail:1959:PFC",
pages = "160--173",
year = "1959",
bibdate = "Mon Jun 27 15:08:42 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
HDnumber = "68",
}
@Article{Lehmer:1959:ENP,
author = "D. H. Lehmer",
title = "On the exact number of primes less than a given
limit",
journal = j-ILL-J-MATH,
volume = "3",
pages = "381--388",
year = "1959",
CODEN = "IJMTAW",
ISSN = "0019-2082 (print), 1945-6581 (electronic)",
ISSN-L = "0019-2082",
MRclass = "10.00",
MRnumber = "106883",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.ijm/1255455259",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Illinois Journal of Mathematics",
}
@Article{Lehmer:1959:MM,
author = "D. H. Lehmer",
title = "{Mahler}'s matrices",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "1",
pages = "385--395",
year = "1959/1960",
CODEN = "JAUMAX",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
MRclass = "10.05",
MRnumber = "0124259",
MRreviewer = "O. Taussky-Todd",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics",
}
@Article{Lehmer:1959:PHL,
author = "D. H. Lehmer",
title = "On a problem of {Hardy} and {Littlewood}",
journal = j-J-LOND-MATH-SOC,
volume = "34",
pages = "395--396; 485",
year = "1959",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-34.4.395",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "42.00",
MRnumber = "111985",
MRreviewer = "K. Chandrasekharan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1959:SFR,
author = "D. H. Lehmer",
title = "Some functions of {Ramanujan}",
journal = j-MATH-STUDENT,
volume = "27",
pages = "105--116",
year = "1959",
CODEN = "MTHSBH",
ISSN = "0025-5742",
MRclass = "10.43",
MRnumber = "131412",
MRreviewer = "S. Chowla",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Mathematics Student",
}
@Article{Lehmer:1960:CKS,
author = "D. H. Lehmer and Emma Lehmer",
title = "On the cubes of {Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "6",
pages = "15--22",
year = "1960",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-6-1-15-22",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.00",
MRnumber = "115976",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1960:DVM,
author = "D. H. Lehmer",
booktitle = "{Proc. Internat. Congress Math. 1958}",
title = "Discrete variable methods in numerical analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "545--552",
year = "1960",
MRclass = "65.00 (42.00)",
MRnumber = "0116451",
MRreviewer = "C. B. Haselgrove",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1960:MM,
author = "D. H. Lehmer",
title = "{Mahler}'s Matrices",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "1",
pages = "385--395",
year = "1960",
CODEN = "JAUMAX",
ISSN = "0004-9735 (print), 2059-9234 (electronic)",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the Australian Mathematical Society",
}
@Article{Lehmer:1960:PCM,
author = "D. H. Lehmer",
title = "Power character matrices",
journal = j-PAC-J-MATH,
volume = "10",
pages = "895--907",
year = "1960",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "10.00",
MRnumber = "113853",
MRreviewer = "L. Carlitz",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103038238",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Lehmer:1960:SIF,
author = "D. H. Lehmer and S. Selberg",
title = "A sum involving the function of {M{\"o}bius}",
journal = j-ACTA-ARITHMETICA,
volume = "6",
pages = "111--114",
year = "1960",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-6-1-111-114",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.00",
MRnumber = "115965",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1960:TCT,
author = "D. H. Lehmer",
booktitle = "{Proc. Sympos. Appl. Math., Vol. 10}",
title = "Teaching combinatorial tricks to a computer",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "179--193",
year = "1960",
MRclass = "68.00",
MRnumber = "0113289",
MRreviewer = "A. D. Booth",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1961:BRF,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{The First Six Million Prime
Numbers}} by C. L. Baker and F. J. Gruenberger}",
journal = j-MATH-COMPUT,
volume = "15",
number = "73",
pages = "82--82",
year = "1961",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003096",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2003096",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "C. L. Baker and F. J. Gruenberger",
}
@Book{Lehmer:1961:GTT,
author = "Derrick Henry Lehmer",
title = "Guide to tables in the theory of numbers",
publisher = "National Research Council",
address = "Washington, DC, USA",
pages = "xiv + 177",
year = "1961",
MRclass = "10.02",
MRnumber = "0141626",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Bulletin of the National Research Council, No. 105",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
remark = "Reprinted 1961.",
}
@Article{Lehmer:1961:MMS,
author = "D. H. Lehmer",
title = "A Machine Method for Solving Polynomial Equations",
journal = j-J-ACM,
volume = "8",
number = "2",
pages = "151--162",
month = apr,
year = "1961",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:05:26 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "Lehmer's method; nlop; polynomial",
}
@InCollection{Lehmer:1962:HA,
author = "D. H. Lehmer and Emma Lehmer",
booktitle = "Studies in mathematical analysis and related topics",
title = "Heuristics, anyone?",
publisher = pub-STANFORD,
address = pub-STANFORD:adr,
pages = "202--210",
year = "1962",
MRclass = "10.08",
MRnumber = "0144868",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1962:MPT,
author = "D. H. Lehmer and E. Lehmer and W. H. Mills and J. L.
Selfridge",
title = "Machine Proof of a Theorem on Cubic Residues",
journal = j-MATH-COMPUT,
volume = "16",
number = "80",
pages = "407--415",
month = oct,
year = "1962",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003130",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.06 (68.00)",
MRnumber = "162379",
MRreviewer = "S. Kuroda",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1962:RR,
author = "D. H. Lehmer and Emma Lehmer",
title = "On runs of residues",
journal = j-PROC-AM-MATH-SOC,
volume = "13",
pages = "102--106",
year = "1962",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2033781",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "10.06",
MRnumber = "138582",
MRreviewer = "M. Cugiani",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
}
@Article{Barrucand:1963:APS,
author = "P. Barrucand and Emma Lehmer",
title = "Advanced Problems and Solutions: Solutions: 5042",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "770--771",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1963:CRS,
author = "D. H. Lehmer",
title = "The Complete Root-Squaring Method",
journal = j-J-SIAM,
volume = "11",
number = "3",
pages = "705--717",
month = sep,
year = "1963",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
MRclass = "65.50",
MRnumber = "157481",
MRreviewer = "W. J. Kotz\'{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Lehmer:1963:NPR,
author = "D. H. Lehmer",
title = "A note on primitive roots",
journal = j-SCRIPTA-MATH,
volume = "26",
pages = "117--119",
year = "1963",
ISSN = "0036-9713",
MRclass = "10.09",
MRnumber = "149643",
MRreviewer = "L. Carlitz",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Scripta Mathematica",
}
@Article{Lehmer:1963:PCP,
author = "D. H. Lehmer and Emma Lehmer and W. H. Mills",
title = "Pairs of consecutive power residues",
journal = j-CAN-J-MATH,
volume = "15",
number = "??",
pages = "172--177",
month = "????",
year = "1963",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1963-020-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "10.06",
MRnumber = "146134",
MRreviewer = "H. Klingen",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://cms.math.ca/cjm/v15/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1960.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1963:RDO,
author = "D. H. Lehmer",
title = "{R63--17} Division and Overflow Detection in Residue
Number Systems",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-12",
number = "1",
pages = "36--37",
month = feb,
year = "1963",
CODEN = "IEECA8",
DOI = "https://doi.org/10.1109/PGEC.1963.263493",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 08:10:36 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037786;
http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753;
http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4037754",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "IEEE Transactions on Electronic Computers",
keywords = "residue arithmetic; residue number system",
}
@InProceedings{Lehmer:1963:SHS,
author = "D. H. Lehmer",
booktitle = "{Proc. Sympos. Appl. Math., Vol. XV}",
title = "Some high-speed logic",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "141--145",
year = "1963",
MRclass = "10.03",
MRnumber = "0158509",
MRreviewer = "W. R. Utz",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Brillhart:1964:BPC,
author = "John Brillhart and D. H. Lehmer and Emma Lehmer",
title = "Bounds for Pairs of Consecutive Seventh and Higher
Power Residues",
journal = j-MATH-COMPUT,
volume = "18",
number = "87",
pages = "397--407",
month = jul,
year = "1964",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003762",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.06 (10.03)",
MRnumber = "164923",
MRreviewer = "W. H. Mills",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1964:IFP,
author = "E. Lehmer",
title = "On the Infinitude of {Fibonacci} Pseudo-Primes",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "229--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@InCollection{Lehmer:1964:MTC,
author = "D. H. Lehmer",
title = "The Machine Tools of Combinatorics",
crossref = "Beckenbach:1964:ACM",
chapter = "1",
pages = "5--31",
year = "1964",
bibdate = "Fri Oct 04 14:18:23 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
remark = "This book and this chapter contents have not yet been
located, but
https://graphics.stanford.edu/~seander/bithacks.html#OperationCounting
says that Lehmer independently discovered a fast way to
count bits in a computer word. This may have been
published first by Peter Wegner, CACM 3(5) 322 (1960)
doi: 10.1145/367236.367286.",
}
@Article{Lehmer:1964:PS,
author = "D. H. Lehmer",
title = "On a problem of {St{\"o}rmer}",
journal = j-ILL-J-MATH,
volume = "8",
pages = "57--79",
year = "1964",
CODEN = "IJMTAW",
ISSN = "0019-2082 (print), 1945-6581 (electronic)",
ISSN-L = "0019-2082",
MRclass = "10.08",
MRnumber = "158849",
MRreviewer = "L. Mirsky",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.ijm/1256067456",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Illinois Journal of Mathematics",
}
@Article{Lehmer:1965:CCP,
author = "D. H. Lehmer",
title = "On certain chains of primes",
journal = j-PROC-LONDON-MATH-SOC-3,
volume = "14a",
pages = "183--186",
year = "1965",
CODEN = "PLMTAL",
DOI = "https://doi.org/10.1112/plms/s3-14A.1.183",
ISSN = "0024-6115 (print), 1460-244x (electronic)",
ISSN-L = "0024-6115",
MRclass = "10.47",
MRnumber = "177964",
MRreviewer = "L. K. Durst",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Proceedings of the London Mathematical Society. Third
Series",
journal-URL = "http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/",
}
@Article{Lehmer:1965:PAI,
author = "D. H. Lehmer",
title = "Permutation by Adjacent Interchanges",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2, part II",
pages = "36--46",
month = feb,
year = "1965",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2313309",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05.04",
MRnumber = "172816",
MRreviewer = "S. W. Golomb",
bibdate = "Mon Jun 28 12:37:46 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib",
note = "Part 2: Computers and Computing.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1965:PFC,
author = "D. H. Lehmer",
title = "The Prime Factors of Consecutive Integers",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2, part II",
pages = "19--20",
month = feb,
year = "1965",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2313306",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.08",
MRnumber = "171739",
MRreviewer = "W. R. Utz",
bibdate = "Mon Jun 28 12:37:46 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib",
note = "Part 2: Computers and Computing.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1965:PRT,
author = "D. H. Lehmer",
title = "The Primality of {Ramanujan}'s Tau-Function",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2, part II",
pages = "15--18",
month = feb,
year = "1965",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2313305",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.03 (10.41)",
MRnumber = "172855",
MRreviewer = "Harvey Cohn",
bibdate = "Mon Jun 28 12:37:46 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib",
note = "Part 2: Computers and Computing.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1966:CKS,
author = "D. H. Lehmer and Emma Lehmer",
title = "The cyclotomy of {Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "12",
pages = "385--407",
year = "1966/67",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-12-4-385-407",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.66",
MRnumber = "214564",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1966:CTN,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the IBM Scientific Computing
Symposiums on Combinatorial Problems (Yorktown Heights,
NY, 1964)}",
title = "Combinatorial types in number-theory calculations",
publisher = "IBM Data Processing Division",
address = "White Plains, NY, USA",
pages = "23--30",
year = "1966",
MRclass = "05.10 (10.00)",
MRnumber = "0214490",
MRreviewer = "J. Riordan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1966:MM,
author = "D. H. Lehmer",
title = "Mechanized mathematics",
journal = j-BULL-AMS,
volume = "72",
number = "5",
pages = "739--750",
year = "1966",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1966-11553-7",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1566405",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
remark = "This is the thirty-eighth Josiah Willard Gibbs lecture
delivered before the Annual Meeting of the Society in
Denver on Tuesday Janary 26, 1965. Douglas Hartree is
mentioned twice, both on page 742.",
subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February
1958)",
}
@Article{Lehmer:1966:QCF,
author = "E. Lehmer",
title = "On the Quadratic Character of the {Fibonacci} Root",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "135--138",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1966:SPC,
author = "D. H. Lehmer",
title = "Some properties of the cyclotomic polynomial",
journal = j-J-MATH-ANAL-APPL,
volume = "15",
pages = "105--117",
year = "1966",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(66)90144-2",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "10.79",
MRnumber = "197441",
MRreviewer = "D. J. Lewis",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.sciencedirect.com/science/article/pii/0022247X66901442",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
}
@Article{Lehmer:1967:CHK,
author = "D. H. Lehmer and Emma Lehmer",
title = "The cyclotomy of hyper-{Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "14",
pages = "89--111",
year = "1967/1968",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-14-1-89-111",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.41",
MRnumber = "0224572",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InCollection{Lehmer:1968:MPM,
author = "D. H. Lehmer",
booktitle = "Computers in Mathematical Research",
title = "Machines and pure mathematics",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "1--7",
year = "1968",
MRclass = "68.00",
MRnumber = "0234661",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1969:BRR,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Random number generators}}
by Birger Jansson}",
journal = j-QUART-APPL-MATH,
volume = "27",
number = "3",
pages = "421--421",
year = "1969",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.2307/43636000",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/43636000",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
reviewed-author = "Birger Jansson",
}
@InCollection{Lehmer:1969:CTA,
author = "D. H. Lehmer",
booktitle = "Studies in Number Theory",
title = "Computer technology applied to the theory of numbers",
publisher = pub-MAA,
address = pub-MAA:adr,
pages = "117--151",
year = "1969",
MRclass = "10.03",
MRnumber = "0246815",
MRreviewer = "P. Barrucand",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@InProceedings{Lehmer:1969:SPP,
author = "D. H. Lehmer",
booktitle = "Constructive Aspects of the {Fundamental Theorem of
Algebra (Proc. Sympos., Z{\"u}rich--R{\"u}schlikon,
1967)}",
title = "Search procedures for polynomial equation solving",
publisher = pub-WI,
address = pub-WI:adr,
pages = "193--208",
year = "1969",
MRclass = "65.50",
MRnumber = "0267750",
MRreviewer = "W. M. Kincaid",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1970:CM,
author = "D. H. Lehmer",
title = "On compounding of means",
journal = j-NAMS,
volume = "17",
number = "4",
pages = "634--635",
month = jun,
year = "1970",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Tue Mar 14 19:09:32 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/nams1970.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
issue = "122",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Lehmer:1970:ISH,
author = "D. H. Lehmer and Emma Lehmer and Daniel Shanks",
title = "Integer Sequence having Prescribed Quadratic
Character",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "433--451",
month = apr,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004491",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.03",
MRnumber = "271006",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1970:NDR,
author = "D. H. Lehmer",
title = "Note on the Distribution of {Ramanujan}'s Tau
Function",
journal = j-MATH-COMPUT,
volume = "24",
number = "111",
pages = "741--743",
month = jul,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004851",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.41",
MRnumber = "274401",
MRreviewer = "K. Thanigasalam",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InProceedings{Lehmer:1970:PSR,
author = "D. H. Lehmer",
booktitle = "Combinatorial theory and its applications, {II}
({Proc. Colloq., Balatonf{\"u}red, 1969})",
title = "Permutations with strongly restricted displacements",
publisher = "????",
address = "????",
pages = "755--770",
year = "1970",
MRclass = "05A10",
MRnumber = "0316260",
MRreviewer = "N. S. Mendelsohn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Brillhart:1971:C,
author = "John Brillhart and Emma Lehmer",
title = "Challenge",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "525--??",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/challenge.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1971:CCM,
author = "D. H. Lehmer",
title = "On the compounding of certain means",
journal = j-J-MATH-ANAL-APPL,
volume = "36",
number = "1",
pages = "183--200",
month = oct,
year = "1971",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(71)90029-1",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "10.43",
MRnumber = "281696",
MRreviewer = "D. Rearick",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "https://www.sciencedirect.com/science/article/pii/0022247X71900291",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "arithmetic--geometric mean (AGM) iteration; complete
elliptic integrals of the first and second kinds.
Landen s transformation",
}
@InProceedings{Lehmer:1971:EEM,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Twenty-Fifth Summer Meeting of the
Canadian Mathematical Congress (Lakehead Univ., Thunder
Bay, Ont., 1971)}",
title = "Effective enumeration methods for highly restricted
permutations",
publisher = "????",
address = "????",
pages = "103--116",
year = "1971",
MRclass = "05A15",
MRnumber = "0340041",
MRreviewer = "S. G. Williamson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@InProceedings{Lehmer:1971:SRS,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Manitoba Conference on Numerical
Mathematics (Univ. Manitoba, Winnipeg, Man., 1971)}",
title = "Some recursive sequences",
publisher = "????",
address = "????",
pages = "15--30",
year = "1971",
MRclass = "10A35",
MRnumber = "0335426",
MRreviewer = "Jean-Pierre Duport",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1971:TECa,
author = "D. H. Lehmer",
title = "Table errata: {``On the converse of Fermat's theorem''
(Amer. Math. Monthly {\bf 43} (1936), 347--354)}",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "943",
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (10A25)",
MRnumber = "400629",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197110)25:116<943:TE>2.0.CO;2-9&origin=MSN",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1971:TECb,
author = "D. H. Lehmer",
title = "Table errata: {``On the converse of Fermat's theorem.
II'' (Amer. Math. Monthly {\bf 56} (1949), 300--309)}",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "943--944",
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (10A25)",
MRnumber = "400630",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197110)25:116<943:TE>2.0.CO;2-9&origin=MSN",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1972:BRA,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{The Art of Computer
Programming, Vol. 2: Seminumerical Algorithms}} by D.
E. Knuth}",
journal = j-AM-SCI,
volume = "60",
number = "5",
pages = "642--642",
year = "1972",
CODEN = "AMSCAC",
DOI = "https://doi.org/10.2307/27843439",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/27843439",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
reviewed-author = "D. E. Knuth",
}
@Article{Lehmer:1972:RWP,
author = "D. H. Lehmer",
title = "On reciprocally weighted partitions",
journal = j-ACTA-ARITHMETICA,
volume = "21",
pages = "379--388",
year = "1972",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-21-1-379-388",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10A45",
MRnumber = "304302",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1972:SSA,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the 1972 Number Theory Conference
(Univ. Colorado, Boulder, Colo.)}",
title = "Some structural aspects of the partitions of an
integer",
publisher = "????",
address = "????",
pages = "122--127",
year = "1972",
MRclass = "10A45 (10J20)",
MRnumber = "0401635",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1973:CCQ,
author = "Emma Lehmer",
title = "On the cubic character of quadratic units",
journal = j-J-NUMBER-THEORY,
volume = "5",
number = "5",
pages = "385--389",
month = oct,
year = "1973",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(73)90039-5",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:24 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900395",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lehmer:1973:CFC,
author = "D. H. Lehmer",
title = "Continued fractions containing arithmetic
progressions",
journal = j-SCRIPTA-MATH,
volume = "29",
pages = "17--24",
year = "1973",
ISSN = "0036-9713",
MRclass = "10A30 (33A40)",
MRnumber = "327637",
MRreviewer = "L. C. Eggan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Scripta Mathematica",
}
@InProceedings{Lehmer:1973:CMP,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Second Manitoba Conference on
Numerical Mathematics (Univ. Manitoba, Winnipeg, Man.,
1972)}",
title = "Calculating moments of partitions",
publisher = "????",
address = "????",
pages = "217--220. Congressus Numerantium, No. VII",
year = "1973",
MRclass = "10J20",
MRnumber = "0360494",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1973:EQF,
author = "D. H. Lehmer",
title = "The economics of quadratic form calculations",
journal = j-J-NUMBER-THEORY,
volume = "5",
number = "6",
pages = "544--545",
month = dec,
year = "1973",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(73)90026-7",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:24 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900267",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lehmer:1973:MMS,
author = "D. H. Lehmer",
title = "Multisectioned moments of {Stirling} numbers of the
second kind",
journal = j-J-COMB-THEORY-A,
volume = "15",
pages = "210--224",
year = "1973",
CODEN = "JCBTA7",
DOI = "https://doi.org/10.1016/s0097-3165(73)80008-1",
ISSN = "0097-3165 (print), 1096-0899 (electronic)",
ISSN-L = "0097-3165",
MRclass = "05A10",
MRnumber = "325401",
MRreviewer = "H. W. Gould",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.sciencedirect.com/science/article/pii/S0097316573800081",
abstract = "The Stirling number of the second kind, $ S(n, k) $,
enumerates the ways that $n$ distinct objects can be
stored in $k$ non-empty indistinguishable boxes. When
$k$ is restricted to a given residue class modulo $ \mu
$, the moments of the distribution $ S(n, k)$ have
properties associated with the Olivier functions of
order $ \mu $ evaluated at $1$ and $ - 1$. The simplest
example is Dobinski's formula for the Bell number $ B_n
= \sum_{k = 0}^n S(n, k) = e^{-1} \sum_{\lambda =
0}^\infty \lambda^n / \lambda !$. The treatment is
based on combinatorial arguments and umbral calculus.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Combinatorial Theory. Series A",
journal-URL = "http://www.sciencedirect.com/science/journal/00973165",
}
@Article{Lehmer:1973:SPC,
author = "D. H. Lehmer",
title = "Some properties of circulants",
journal = j-J-NUMBER-THEORY,
volume = "5",
number = "1",
pages = "43--54",
month = feb,
year = "1973",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(73)90056-5",
ISSN = "0022-314x (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
MRclass = "05B20 (15A15)",
MRnumber = "316272",
MRreviewer = "Stephen Tanny",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900565",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@InProceedings{Guy:1974:SRA,
author = "Richard K. Guy and D. H. Lehmer and J. L. Selfridge
and M. C. Wunderlich",
booktitle = "{Proceedings of the Third Manitoba Conference on
Numerical Mathematics (Winnipeg, Man., 1973)}",
title = "Second report on aliquot sequences",
publisher = "????",
address = "????",
pages = "357--368",
year = "1974",
MRclass = "10-04 (10A40)",
MRnumber = "0351967",
MRreviewer = "S. A. Burr",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@InProceedings{Lehmer:1974:CCP,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Fifth Southeastern Conference on
Combinatorics, Graph Theory, and Computing (Florida
Atlantic Univ., Boca Raton, Fla., 1974)}",
title = "Combinatorial and cyclotomic properties of certain
tridiagonal matrices",
publisher = "????",
address = "????",
pages = "53--74. Congressus Numerantium, No. X",
year = "1974",
MRclass = "10A45",
MRnumber = "0441852",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1974:HSV,
author = "D. H. Lehmer",
title = "{Harry Schultz Vandiver}, 1882--1973",
journal = j-BULL-AMS,
volume = "80",
pages = "817--818",
year = "1974",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1974-13523-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "01A70 (10-03)",
MRnumber = "342346",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@InProceedings{Lehmer:1974:ICR,
author = "D. H. Lehmer",
booktitle = "The influence of computing on mathematical research
and education {(Proc. Sympos. Appl. Math., Vol. 20,
Univ. Montana, Missoula, Mont., 1973)}",
title = "The influence of computing on research in number
theory",
publisher = "????",
address = "????",
pages = "3--12",
year = "1974",
MRclass = "10-04",
MRnumber = "0364061",
MRreviewer = "P. J. Weinberger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1974:NFT,
author = "D. H. Lehmer and Emma Lehmer",
title = "A New Factorization Technique Using Quadratic Forms",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "625--635",
month = apr,
year = "1974",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005939",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25 (10-04 10B05)",
MRnumber = "342458",
MRreviewer = "Harvey Cohn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Univ. California, Berkeley, CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "aliquot series; combinatorial mathematics;
factorization technique; inequalities; number theory;
quadratic forms; sieving facilities",
treatment = "T Theoretical or Mathematical",
}
@Article{Brillhart:1975:NPC,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge",
title = "New primality criteria and factorizations of $ 2^m
\pm 1 $",
journal = j-MATH-COMPUT,
volume = "29",
number = "130",
pages = "620--647",
month = apr,
year = "1975",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005583",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25",
MRnumber = "384673",
MRreviewer = "Jean-Marie De Koninck",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. Math., Univ. Arizona, Tucson, AZ, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "divisibility properties; factorizations; Fermat's
theorem; hyperbola; Lucas sequences; Mersenne numbers;
number theory; primality criteria; search bound",
referencedin = "Referenced in \cite[Ref. 2]{Silverman:1997:FGR}.",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1975:ECA,
author = "D. H. Lehmer",
title = "{Euler} constants for arithmetical progressions",
journal = j-ACTA-ARITHMETICA,
volume = "27",
pages = "125--142",
year = "1975",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-27-1-125-142",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10A20",
MRnumber = "369233",
MRreviewer = "Karl-Heinz Indlekofer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Lehmer:1975:FRS,
author = "D. H. Lehmer",
title = "{Fibonacci} and Related Sequences in Periodic
Tridiagonal Matrices",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "150--158",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10M20 (10A35)",
MRnumber = "374080",
MRreviewer = "Calvin T. Long",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.fq.math.ca/13-2.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Graham:1976:PSM,
author = "R. L. Graham and D. H. Lehmer",
title = "On the permanent of {Schur}'s matrix",
journal = j-J-AUSTRAL-MATH-SOC-SER-A,
volume = "21",
number = "4",
pages = "487--497",
year = "1976",
CODEN = "JAMADS",
DOI = "https://doi.org/10.1017/s1446788700019339",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
MRclass = "15A15",
MRnumber = "417210",
MRreviewer = "H. Ratschek",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics",
}
@Article{Lehmer:1976:BRT,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Tabelle der
(Relativ)-Klassenzahlen der Kreisk{\"o}rper deren $
\phi $-Funktion des Wurtzelexponenten (Grad) nicht
gr{\"o}sser als 256 ist}} by G. Schrutka v.
Rechtenstamm}",
journal = j-MATH-COMPUT,
volume = "30",
number = "134",
pages = "375--376",
year = "1976",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005987",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2005987",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "G. Schrutka v. Rechtenstamm",
}
@Article{Lehmer:1976:CLP,
author = "D. H. Lehmer",
title = "The Characters of linear permutations",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "4",
number = "1",
pages = "1--16",
year = "1976",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087608817124",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
MRclass = "10M99",
MRnumber = "404196",
MRreviewer = "K. S. Williams",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "02 Apr 2008",
}
@Article{Lehmer:1976:IGS,
author = "D. H. Lehmer",
title = "Incomplete {Gauss} sums",
journal = j-MATHEMATIKA,
volume = "23",
number = "2",
pages = "125--135",
year = "1976",
CODEN = "MTKAAB",
DOI = "https://doi.org/10.1112/S0025579300008718",
ISSN = "0025-5793",
MRclass = "10G05",
MRnumber = "429787",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematika. A Journal of Pure and Applied
Mathematics",
journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues",
}
@Article{Lehmer:1976:SCN,
author = "D. H. Lehmer",
title = "Strong {Carmichael} numbers",
journal = j-J-AUSTRAL-MATH-SOC-SER-A,
volume = "21",
number = "4",
pages = "508--510",
year = "1976",
CODEN = "JAMADS",
DOI = "https://doi.org/10.1017/s1446788700019364",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
MRclass = "10A10",
MRnumber = "417032",
MRreviewer = "Donald L. Goldsmith",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics",
}
@InProceedings{Lehmer:1977:EPN,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Sixth Manitoba Conference on
Numerical Mathematics (Univ. Manitoba, Winnipeg, Man.,
1976)}",
title = "Exploitation of parallelism in number theoretic and
combinatorial computation",
publisher = "????",
address = "????",
pages = "95--111. Congress. Numer., XVIII",
year = "1977",
MRclass = "10-04 (68A20)",
MRnumber = "0554190",
MRreviewer = "J. L. Selfridge",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1977:PFC,
author = "D. H. Lehmer",
title = "Prime Factors of Cyclotomic Class Numbers",
journal = j-MATH-COMPUT,
volume = "31",
number = "138",
pages = "599--607",
month = apr,
year = "1977",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006441",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A50 (12A35)",
MRnumber = "432589",
MRreviewer = "James R. C. Leitzel",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "cyclotomic class numbers; number theory; prime
factors",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1978:ATC,
author = "D. H. Lehmer and J. M. Masley",
title = "Addendum: {``Table of the cyclotomic class numbers $ h
\sp *(p) $ and their factors for $ 200 < p < 521 $''
(Math. Comp. {\bf 32} (1978), no. 142, 577--582)}",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "loose microfiche suppl",
year = "1978",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006166",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A35 (12A50)",
MRnumber = "498485",
MRreviewer = "Wells Johnson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1978:RRL,
author = "Emma Lehmer",
title = "Rational Reciprocity Laws",
journal = j-AMER-MATH-MONTHLY,
volume = "85",
number = "6",
pages = "467--472",
month = jun # "\slash " # jul,
year = "1978",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1970.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1978:TCC,
author = "D. H. Lehmer and J. M. Masley",
title = "Table of the Cyclotomic Class Numbers $ h^\ast (p) $
and Their Factors for $ 200 < p < 521 $",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "577--582",
month = apr,
year = "1978",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006166",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A35 (12A50)",
MRnumber = "498484",
MRreviewer = "Wells Johnson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2006166",
abstract = "This table gives the values of the {"first} {factor"}
$ h^\ast (p) $ and their factorizations for all primes
$ p, 200 < p < 521 $. This extends similar data by M.
Newman [Math. Comp., v. 24, 1970, pp. 215-219], and
Schrutka [Berlin Akad. Abn., 1964]. The two methods
used to compute these data are described.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "200<p<521; cyclotomic class numbers; factors; first
factor; number theory; primes",
treatment = "T Theoretical or Mathematical",
}
@Article{Knothe:1979:PSS,
author = "Herbert Knothe and Emma Lehmer",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6156",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "2",
pages = "134--135",
month = feb,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1970.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1979:BRS,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Solved and Unsolved Problems
in Number Theory}}, 2nd ed. by Daniel Shanks}",
journal = j-AM-SCI,
volume = "67",
number = "6",
pages = "730--730",
year = "1979",
CODEN = "AMSCAC",
DOI = "https://doi.org/10.2307/27849606",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/27849606",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
reviewed-author = "Daniel Shanks",
}
@Article{Lehmer:1979:PES,
author = "D. H. Lehmer and Emma Lehmer",
title = "Picturesque Exponential Sums, {I}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "9",
pages = "725--733",
month = nov,
year = "1979",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322021",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10G05 (05C99)",
MRnumber = "550302",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1970.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Rose:1979:PSS,
author = "Haim Rose and Emma Lehmer",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2673}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "57--57",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1970.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1980:CTE,
author = "D. H. Lehmer",
title = "On a constant of {Tur}{\'a}n and {Erd{\H{o}}s}",
journal = j-ACTA-ARITHMETICA,
volume = "37",
pages = "359--361",
year = "1980",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-37-1-359-361",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "05A15",
MRnumber = "598888",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1980:HSP,
author = "D. H. Lehmer",
title = "A History of the Sieve Process",
crossref = "Metropolis:1980:HCT",
pages = "445--456",
year = "1980",
bibdate = "Thu Mar 12 15:55:59 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
URL = "http://www.sciencedirect.com/science/article/pii/B9780124916500500307",
abstract = "This chapter presents the history of the sieve
process. In a sieve problem, two numbers are given $A$
and $B$, $k$ integers or moduli, $k$ other integers,
and a matrix, and the problem is to find an unknown
integer $x$ that satisfies an equation. The sieve
problem is to find all those integers satisfying the
two kinds of conditions, congruential conditions, and
inequalities. The chapter discusses that there is
another type of sieve problem called quadratic in which
$ n_i$ is approximately equal to $ m_i / 2$. This means
that a random X has about a 50\% chance of satisfying
any one of these congruences and if one has $k$ of
these the number $X$ has about one chance in $ 2^k$.
The sieve method had a relay, some contacts, and
circuitry that was very primitive but quite effective.
The sieve has the advantage over the stencil method in
that one do not have to plan in advance how one wish to
go and apply carefully one stencil after another. It
was a genuine parallel machine.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1980:PES,
author = "D. H. Lehmer and Emma Lehmer",
title = "Picturesque exponential sums. {II}",
journal = j-J-REINE-ANGEW-MATH,
volume = "318",
pages = "1--19",
year = "1980",
CODEN = "JRMAA8",
DOI = "https://doi.org/10.1515/crll.1980.318.1",
ISSN = "0075-4102 (print), 1435-5345 (electronic)",
ISSN-L = "0075-4102",
MRclass = "10G05",
MRnumber = "579379",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal f{{\"u}}r die Reine und Angewandte Mathematik.
[Crelle's Journal]",
journal-URL = "https://www.degruyter.com/view/j/crll",
}
@Article{Lehmer:1980:PSP,
author = "Emma Lehmer and David A. Sanchez",
title = "Problems and Solutions: Problems Dedicated to {Emory
P. Starke}: {S27}--{S28}",
journal = j-AMER-MATH-MONTHLY,
volume = "87",
number = "3",
pages = "218--218",
month = mar,
year = "1980",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:55 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Lehmer:1982:PSS,Sanchez:1981:PSS}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1981:CNS,
author = "D. H. Lehmer and Emma Lehmer",
booktitle = "Analytic number theory ({Philadelphia, Pa.}, 1980)",
title = "Cyclotomy for non-squarefree modul {I}",
journal = j-LECT-NOTES-MATH,
volume = "899",
pages = "276--300",
year = "1981",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0096468",
ISBN = "3-540-11173-5 (print), 3-540-38953-9 (e-book)",
ISBN-13 = "978-3-540-11173-3 (print), 978-3-540-38953-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "10G05 (12C20)",
MRnumber = "654534",
MRreviewer = "A. L. Whiteman",
bibdate = "Fri May 9 19:07:33 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
series = "Lecture Notes in Math.",
URL = "http://link.springer.com/chapter/10.1007/BFb0096468/",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
book-DOI = "https://doi.org/10.1007/BFb0096450",
book-URL = "http://www.springerlink.com/content/978-3-540-38953-8",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Lehmer:1981:FQB,
author = "D. H. Lehmer",
title = "On {Fermat}'s Quotient, Base Two",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "289--290",
month = jan,
year = "1981",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007748",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10-04",
MRnumber = "595064; 82e:10004",
MRreviewer = "M. C. Wunderlich",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "congruence; Fermat's quotient; linear algebra; number
theory; p=1093; p=3511",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Lehmer:1981:MTC,
author = "D. H. Lehmer",
title = "The Machine Tools of Combinatorics",
crossref = "Beckenbach:1981:ACM",
chapter = "1",
pages = "5--31",
year = "1981",
bibdate = "Fri Oct 04 14:18:23 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
remark = "This book and this chapter contents have not yet been
located, but
https://graphics.stanford.edu/~seander/bithacks.html#OperationCounting
says that Lehmer independently discovered a fast way to
count bits in a computer word. This may have been
published first by Peter Wegner, CACM 3(5) 322 (1960)
doi: 10.1145/367236.367286.",
}
@Article{Lehmer:1981:RM,
author = "D. H. Lehmer",
title = "Remarks on $ (0, \, 1) $ matrices",
journal = j-CONG-NUM,
volume = "30",
pages = "29--44",
year = "1981",
ISSN = "0384-9864",
MRclass = "05B20 (05C50)",
MRnumber = "635935",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Congressus Numerantium. A Conference Journal on
Numerical Themes",
}
@Article{Lehmer:1982:BRE,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Error-Free Computation: Why
It is Needed and Methods for Doing It}} (Robert Todd
Gregory)}",
journal = j-SIAM-REVIEW,
volume = "24",
number = "1",
pages = "99--100",
month = "????",
year = "1982",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1024031",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:53:25 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/24/1;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1982",
}
@Article{Lehmer:1982:GEN,
author = "D. H. Lehmer",
title = "Generalized {Eulerian} numbers",
journal = j-J-COMB-THEORY-A,
volume = "32",
number = "2",
pages = "195--215",
year = "1982",
CODEN = "JCBTA7",
DOI = "https://doi.org/10.1016/0097-3165(82)90020-6",
ISSN = "0097-3165 (print), 1096-0899 (electronic)",
ISSN-L = "0097-3165",
MRclass = "10A40 (05A15)",
MRnumber = "654621",
MRreviewer = "Stefan A. Burr",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.sciencedirect.com/science/article/pii/0097316582900206",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Combinatorial Theory. Series A",
journal-URL = "http://www.sciencedirect.com/science/journal/00973165",
}
@Article{Lehmer:1982:PSS,
author = "Emma Lehmer and Bruce C. Berndt and Ronald J. Evans",
title = "Problems and Solutions: Solutions of Problems
Dedicated to {Emory P. Starke}: {S27}",
journal = j-AMER-MATH-MONTHLY,
volume = "89",
number = "7",
pages = "495--496",
month = aug # "\slash " # sep,
year = "1982",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:51 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Lehmer:1980:PSP}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Book{Brillhart:1983:F,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "lxviii + 178",
year = "1983",
ISBN = "0-8218-5021-0",
ISBN-13 = "978-0-8218-5021-3",
MRclass = "10A25 (10-04)",
MRnumber = "715603",
MRreviewer = "Duncan A. Buell",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "$ b = 2, \, 3, \, 5, \, 6, \, 7, \, 10, \, 11, \, 12 $
up to high powers",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Book{Brillhart:1983:FHP,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $, $ b = 2, 3, 5, 6, 7,
10, 11, 12 $ up to high powers",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "lxvii + 178",
year = "1983",
ISBN = "0-8218-5021-0 (paperback)",
ISBN-13 = "978-0-8218-5021-3 (paperback)",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA161.F3 F33 1983",
bibdate = "Sat Mar 10 10:17:57 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
ZMnumber = "Zbl 0527.10001",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
remark = "Factorizations of the form in the title are of
interest for simplifying computations in the
determination of optimal parameters for linear and
multiplicative congruential generators.",
subject = "Factors (Algebra); Tables",
}
@Article{Lehmer:1983:CAC,
author = "D. H. Lehmer",
title = "Computational advantages of cyclotomic fields",
journal = j-CONG-NUM,
volume = "38",
pages = "133--137",
year = "1983",
ISSN = "0384-9864",
MRclass = "12-04 (12A35)",
MRnumber = "703246",
MRreviewer = "Wells Johnson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Congressus Numerantium. A Conference Journal on
Numerical Themes",
}
@Article{Lehmer:1983:CSP,
author = "D. H. Lehmer and Emma Lehmer",
title = "Cyclotomy With Short Periods",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "743--758",
month = oct,
year = "1983",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007709",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10G05 (10A40 12C20)",
MRnumber = "717718; 84j:10048",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1983:MSC,
author = "D. H. Lehmer and Emma Lehmer",
title = "Multiple sums of cyclotomic numbers",
journal = j-UTIL-MATH,
volume = "23",
pages = "223--239",
year = "1983",
CODEN = "UTMADA",
ISSN = "0315-3681",
MRclass = "12C20 (10G05)",
MRnumber = "703141",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Utilitas Mathematica. An International Journal of
Discrete and Combinatorial Mathematics, and Statistical
Design",
}
@Article{Lehmer:1983:PPH,
author = "D. H. Lehmer and Emma Lehmer",
title = "Properties of Polynomials having {Fibonacci} Numbers
for Coefficients",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "62--64",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10A40 (10M05)",
MRnumber = "696680",
MRreviewer = "Neville Robbins",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.fq.math.ca/21-1.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1983:PPR,
author = "Emma Lehmer",
title = "Patterns of power residues",
journal = j-J-NUMBER-THEORY,
volume = "17",
number = "1",
pages = "37--46",
month = aug,
year = "1983",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(83)90004-5",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:43 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X83900045",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lehmer:1984:SPP,
author = "D. H. Lehmer and Emma Lehmer",
title = "The sextic period polynomial",
journal = j-PAC-J-MATH,
volume = "111",
number = "2",
pages = "341--355",
year = "1984",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "11L03 (11T06)",
MRnumber = "734860",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102710575",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Henkin:1985:JBR,
author = "L. Henkin and D. H. Lehmer and Emma Lehmer and E.
Scott and J. Kelley and L. Gaal and D. Gale and M.
Davis and S. MacLane and I. Niven and E. Pitcher and L.
Blum and S. Feferman",
title = "{Julia Bowman Robinson}: 1919--1985",
journal = j-NAMS,
volume = "32",
number = "6",
pages = "739--742",
month = nov,
year = "1985",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "01A70",
MRnumber = "811002",
bibdate = "Thu Aug 15 07:17:02 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/nams1980.bib",
ZMnumber = "0571.01026",
acknowledgement = ack-nhfb,
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
ZBmath = "3910361",
}
@Article{Lehmer:1985:CPG,
author = "D. H. Lehmer",
title = "The chromatic polynomial of a graph",
journal = j-PAC-J-MATH,
volume = "118",
number = "2",
pages = "463--469",
year = "1985",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "05C15",
MRnumber = "789185",
MRreviewer = "Ruth Bari",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102706453",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Lehmer:1985:ISI,
author = "D. H. Lehmer",
title = "Interesting Series Involving the Central Binomial
Coefficient",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "7",
pages = "449--457",
month = aug # "\slash " # sep,
year = "1985",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322496",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "40A05 (05A10 11J72)",
MRnumber = "801217; 87c:40002",
MRreviewer = "P. L. Cijsouw",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1985:NAS,
author = "D. H. Lehmer",
title = "Numbers associated with {Stirling} numbers and $ x^x
$",
journal = j-ROCKY-MOUNTAIN-J-MATH,
volume = "15",
number = "2",
pages = "461--479",
year = "1985",
CODEN = "RMJMAE",
DOI = "https://doi.org/10.1216/RMJ-1985-15-2-461",
ISSN = "0035-7596 (print), 1945-3795 (electronic)",
ISSN-L = "0035-7596",
MRclass = "05A15 (05A19 05A40 11B73)",
MRnumber = "823258",
MRreviewer = "Louis Shapiro",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Number theory (Winnipeg, Man., 1983)",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "The Rocky Mountain Journal of Mathematics",
journal-URL = "http://projecteuclid.org/euclid.rmjm",
}
@Article{Lehmer:1985:UPS,
author = "Emma Lehmer",
title = "Unsolved Problems: On Square-Separable Primes",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "10",
pages = "719--725",
month = dec,
year = "1985",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:09 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lehmer:1986:CPS,
author = "D. H. Lehmer",
title = "Coloring the {Platonic} solids",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "4",
pages = "288--292",
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323682",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05C15",
MRnumber = "835299",
MRreviewer = "Paul A. Catlin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1986:ID,
author = "D. H. Lehmer and K. Mahler and A. J. {van der
Poorten}",
title = "Integers with digits $0$ or $1$",
journal = j-MATH-COMPUT,
volume = "46",
number = "174",
pages = "683--689",
month = apr,
year = "1986",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008006",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11A63 (11Y99)",
MRnumber = "829638; 87e:11017",
MRreviewer = "F. Schweiger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Australian Nat. Univ., Canberra, ACT,
Australia",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "function approximation; nonnegative integers",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1986:NCP,
author = "D. H. Lehmer",
title = "Notes: Coloring the {Platonic} Solids",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "4",
pages = "288--292",
month = apr,
year = "1986",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05C15",
MRnumber = "87e:05072",
MRreviewer = "Paul A. Catlin",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
note = "See errata \cite{Kleiner:1990:ECP}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Chung:1987:OGP,
author = "K. L. Chung and R. P. Boas and D. H. Lehmer and Doris
Schattschneider and R. C. Read and M. M. Schiffer and
Alan H. Schoenfeld",
title = "Obituary: {George P{\'o}lya}",
journal = j-BULL-LOND-MATH-SOC,
volume = "19",
number = "6",
pages = "559--608",
month = nov,
year = "1987",
CODEN = "LMSBBT",
DOI = "https://doi.org/10.1112/blms/19.6.559",
ISSN = "0024-6093 (print), 1469-2120 (electronic)",
ISSN-L = "0024-6093",
bibdate = "Mon Jan 31 10:14:46 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Bulletin of the London Mathematical Society",
journal-URL = "http://blms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1987:CR,
author = "D. H. Lehmer and Emma Lehmer",
title = "Cyclotomic Resultants",
journal = j-MATH-COMPUT,
volume = "48",
number = "177",
pages = "211--216",
month = jan,
year = "1987",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007885",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11T21",
MRnumber = "866110; 88c:11075",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "cubic residues; cyclotomic; cyclotomic period
polynomials; cyclotomic resultants; eth; multiprecision
system; number theory; numbers; polynomials; power
character; quartic residues",
treatment = "T Theoretical or Mathematical",
}
@Book{Brillhart:1988:F,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Second",
pages = "xcvi + 236",
year = "1988",
DOI = "https://doi.org/10.1090/conm/022",
ISBN = "0-8218-5078-4",
ISBN-13 = "978-0-8218-5078-7",
MRclass = "11A25 (11-04 11Y05)",
MRnumber = "996414",
MRreviewer = "Duncan A. Buell",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "$ b = 2, 3, 5, 6, 7, 10, 11, 12 $ up to high powers",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Book{Brillhart:1988:FHP,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $, $ b = 2, 3, 5, 6, 7,
10, 11, 12 $ up to high powers",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Second",
pages = "xcv + 236",
year = "1988",
ISBN = "0-8218-5078-4",
ISBN-13 = "978-0-8218-5078-7",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA161.F3 F33 1988",
bibdate = "Sat Mar 10 10:18:16 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
ZMnumber = "Zbl 0659.10001",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
remark = "Factorizations of the form in the title are of
interest for simplifying computations in the
determination of optimal parameters for linear and
multiplicative congruential generators.",
subject = "factors (algebra); tables",
}
@Article{Lehmer:1988:CBG,
author = "Emma Lehmer",
title = "Connection between {Gaussian} periods and cyclic
units",
journal = j-MATH-COMPUT,
volume = "50",
number = "182",
pages = "535--541",
month = apr,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11R11 (11R16 11R21 11R27)",
MRnumber = "89h:11067a",
MRreviewer = "Harvey Cohn",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics);
C1110 (Algebra); C1160 (Combinatorial mathematics)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "cyclic units; Gaussian periods; group theory; number
theory; parametric families of; polynomials; prime
conductor; real quintic field; units",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Lehmer:1988:HCR,
author = "D. H. Lehmer",
booktitle = "A century of mathematics in {America}, {Part I}",
title = "A half century of reviewing",
volume = "1",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "265--266",
year = "1988",
MRclass = "01A70",
MRnumber = "1003174",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Hist. Math.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1988:NAB,
author = "D. H. Lehmer",
title = "A New Approach to {Bernoulli} Polynomials",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "10",
pages = "905--911",
month = dec,
year = "1988",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322383",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B68 (39B20)",
MRnumber = "979133; 90c:11014",
MRreviewer = "W. Herget",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See letters to the editor
\cite{Callan:1989:LEN,Howe:1989:LEN}.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1988:SLP,
author = "D. H. Lehmer",
title = "The sum of like powers of the zeros of the {Riemann}
zeta function",
journal = j-MATH-COMPUT,
volume = "50",
number = "181",
pages = "265--273",
month = jan,
year = "1988",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007930",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11M26 (11Y35)",
MRnumber = "917834; 88m:11073",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
classcodes = "C1160 (Combinatorial mathematics); C7310
(Mathematics)",
corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "complex; derivative; Euler--Maclaurin summation
formula; function evaluation; logarithmic; Maclaurin
expansion coefficients; mathematics computing; number
theory; poles and zeros; Riemann zeta function; series
(mathematics); Sitaramachandrarao limit; sum of like
powers; theorem; zeros",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@InCollection{Lehmer:1990:FTN,
author = "D. H. Lehmer",
booktitle = "Computers in mathematics ({Stanford, CA}, 1986)",
title = "Factorization then and now",
volume = "125",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "311--320",
year = "1990",
MRclass = "11Y05 (01A60 11-03 11A51)",
MRnumber = "1068541",
MRreviewer = "Jeffrey O. Shallit",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Lecture Notes in Pure and Appl. Math.",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Lehmer:1990:MPC,
author = "D. H. Lehmer",
title = "A matrix paraphrase of cyclotomy",
journal = j-ACTA-ARITHMETICA,
volume = "53",
number = "4",
pages = "357--366",
year = "1990",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-53-4-357-366",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11T22",
MRnumber = "1067768",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Lehmer:1990:MPK,
author = "D. H. Lehmer",
title = "A matrix paraphrase of {Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "56",
number = "1",
pages = "83--92",
year = "1990",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-56-1-83-92",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11L05 (11C20)",
MRnumber = "1067983",
MRreviewer = "Dorian Goldfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Lehmer:1991:MP,
author = "D. H. Lehmer",
title = "Matrix paraphrases",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "28",
number = "4",
pages = "251--264",
year = "1991",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081089108818049",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
MRclass = "15A99 (11L05 11T22)",
MRnumber = "1088422",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "02 Apr 2008",
}
@Article{Lehmer:1991:NSC,
author = "D. H. Lehmer",
title = "The number of solutions of a certain congruence
involving the sum of like powers",
journal = j-UTIL-MATH,
volume = "39",
pages = "65--89",
year = "1991",
CODEN = "UTMADA",
ISSN = "0315-3681",
MRclass = "11A07 (11D79)",
MRnumber = "1119764",
MRreviewer = "K. S. Williams",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Utilitas Mathematica. An International Journal of
Discrete and Combinatorial Mathematics, and Statistical
Design",
}
@Article{Lehmer:1993:LP,
author = "D. H. Lehmer and Emma Lehmer",
title = "The {Lehmer Project}",
journal = j-MATH-COMPUT,
volume = "61",
number = "203",
pages = "313--317",
month = jul,
year = "1993",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2152956",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11R27 (11T22)",
MRnumber = "93k:11100; 1189521; 93k:11100",
MRreviewer = "Duncan A. Buell",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1993:MWM,
author = "D. H. Lehmer",
title = "The mathematical work of {Morgan Ward}",
journal = j-MATH-COMPUT,
volume = "61",
number = "203",
pages = "307--311",
month = jul,
year = "1993",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2152955",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "01A70 (11-03)",
MRnumber = "1182245; 93k:01071",
MRreviewer = "{\v{S}}tefan Porubsk{\'y}",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Wagenpfeil:2000:MBS,
author = "Stefan Wagenpfeil and Uwe Treiber and Antonie Lehmer",
title = "A {MATLAB}-Based Software Tool for Changepoint
Detection and Nonlinear Regression in Dose-Response
Relationships",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1933",
pages = "190--??",
year = "2000",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Tue Sep 10 19:08:54 MDT 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t1933.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/lncs2000.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/1933/19330190.htm;
http://link.springer-ny.com/link/service/series/0558/papers/1933/19330190.pdf",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@InCollection{Lehmer:2013:HSC,
author = "Derrick H. Lehmer",
title = "High-Speed Computing Devices and Their Applications",
crossref = "Beckenbach:2013:MMEa",
chapter = "19",
pages = "??--??",
year = "2013",
bibdate = "Fri Oct 27 07:33:05 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
}
@Article{Mirsky:1948:RDH,
author = "L. Mirsky",
title = "A remark on {D. H. Lehmer}'s solution of the
{Tarry--Escott} problem",
journal = j-SCRIPTA-MATH,
volume = "14",
pages = "126--127",
year = "1948",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "27284",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Palama:1953:TDH,
author = "G. Palam{\`a}",
title = "On a theorem of {D. H. Lehmer} concerning the
{Tarry--Escott} problem",
journal = j-SCRIPTA-MATH,
volume = "19",
pages = "19--23",
year = "1953",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "55374",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Newman:1957:CDHa,
author = "Morris Newman",
title = "Comment: {D. H. Lehmer, \booktitle{On the diophantine
equation $ x^3 + y^3 + z^3 = 1 $}, London Math. Soc.,
Jn., v. 31, 1956, p. 275--280}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "106--107",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002157",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Newman:1957:CDHb,
author = "Morris Newman",
title = "Comment: {D. H. Lehmer, \booktitle{On the roots of the
Riemann zeta-function}, Acta Mathematica, v. 95, 1956,
p. 291--298}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "107--108",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002157",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Roberts:1958:NPT,
author = "J. B. Roberts",
title = "A new proof of a theorem of {Lehmer}",
journal = j-CAN-J-MATH,
volume = "10",
number = "??",
pages = "191--194",
month = "????",
year = "1958",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1958-021-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:29 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v10/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Selfridge:1959:BRT,
author = "J. L. Selfridge",
title = "Book Review: {{\booktitle{Tables Concerning the
Distribution of Primes up to 37 Millions}} by D. H.
Lehmer}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "65",
pages = "56--57",
year = "1959",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.2307/2002199",
ISSN = "0891-6837",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2002199",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "D. H. Lehmer",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Yamada:1960:PPN,
author = "S. Yamada",
title = "On the period of pseudorandom numbers generated by
{Lehmer}'s congruential method",
journal = "J. Op. Research Soc. Japan",
volume = "3",
number = "??",
pages = "113--123",
month = "????",
year = "1960",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jan 16 22:43:38 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Liniger:1961:MDH,
author = "Werner Liniger",
title = "On a Method by {D. H. Lehmer} for the Generation of
Pseudo Random Numbers",
journal = j-NUM-MATH,
volume = "3",
pages = "265--270",
month = dec,
year = "1961",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386027",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.15",
MRnumber = "129529",
MRreviewer = "R. W. Hamming",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
HDnumber = "71",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Rasmussen:1964:SPE,
author = "Ole Lang Rasmussen",
title = "Solution of polynomial equations by the method of {D.
H. Lehmer}",
journal = j-BIT,
volume = "4",
pages = "250--260",
year = "1964",
CODEN = "BITTEL, NBITAB",
ISSN = "0901-246X",
ISSN-L = "0006-3835",
MRclass = "68.00",
MRnumber = "177526",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Nordisk Tidskrift for Informationsbehandling",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Payne:1969:CLP,
author = "W. H. Payne and J. R. Rabung and T. P. Bogyo",
title = "Coding the {Lehmer} pseudo-random number generator",
journal = j-CACM,
volume = "12",
number = "2",
pages = "85--86",
month = feb,
year = "1969",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/362848.362860",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:24 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "An algorithm and coding technique is presented for
quick evaluation of the Lehmer pseudo-random number
generator modulo $ 2^{31} - 1 $, a prime Mersenne
number which produces $ 2^{31} - 2 $ numbers, on a
$p$-bit (greater than $ 31 $ ) computer. The
computation method is extendible to limited problems in
modular arithmetic. Prime factorization for $ 2^{61} -
2 $ and a primitive root for $ 2^{61} - 1 $, the next
largest prime Mersenne number, are given for possible
construction of a pseudo-random number generator of
increased cycle length.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Washington State Univ., Pullman, WA, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "modular arithmetic; prime factorization; primitive
roots; PRNG (pseudo-random number generator);
programming; pseudo-random number; random number;
random number generation; simulation; uniform frequency
function; uniform probability density",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Stewart:1969:LMF,
author = "G. W. {Stewart, III}",
title = "On {Lehmer}'s Method for Finding the Zeros of a
Polynomial",
journal = j-MATH-COMPUT,
volume = "23",
number = "108",
pages = "829--835, s24--s30",
month = oct,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database; Theory/Matrix.bib",
note = "See corrigendum \cite{Stewart:1971:CLM}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
gws-number = "J7",
journal-URL = "http://www.ams.org/mcom/",
kwds = "nlop, polynomial, Lehmer's method",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
xxpages = "829--836, s24--s30",
}
@Article{Kravitz:1970:LLT,
author = "Sidney Kravitz",
title = "The {Lucas--Lehmer} Test for {Mersenne} Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "1--3",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/kravitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{S:1970:BRT,
author = "D. S.",
title = "Book Review: {{\booktitle{Tables of Ramanujan's
Function $ \tau (n) $}}, by D. H. Lehmer}",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "495--496",
month = apr,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004515",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2004515",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "D. H. Lehmer",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Sinha:1971:NDH,
author = "T. N. Sinha",
title = "A note on {D. H. Lehmer}'s solution of the
{Tarry--Escott} problem",
journal = j-MATH-STUDENT,
volume = "39",
pages = "331--333 (1972)",
year = "1971",
CODEN = "MTHSBH",
ISSN = "0025-5742",
MRclass = "10A45",
MRnumber = "332649",
MRreviewer = "Stanley Gill Williamson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Volume dedicated to the memory of V. Ramaswami Aiyar",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Student",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Stewart:1971:CLM,
author = "G. W. {Stewart, III}",
title = "Corrigendum: {``On Lehmer's Method for Finding the
Zeros of a Polynomial''}",
journal = j-MATH-COMPUT,
volume = "25",
number = "113",
pages = "203--203",
month = jan,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
note = "See \cite{Stewart:1969:LMF}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
gws-number = "J7",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Swift:1972:EDH,
author = "J. D. Swift",
title = "Errata to {D. H. Lehmer}'s {``Table errata: `Table des
nombres compos{\'e}s v{\'e}rifiant le th{\'e}or{\`e}me
de Fermat pour le module 2 jusqu'{\`a} 100.000.000' by
P. Poulet'' (Math. Comp. {\bf 25} (1971), no. 116,
944--945)}",
journal = j-MATH-COMPUT,
volume = "26",
pages = "814",
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (10A99)",
MRnumber = "655816",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197207)26:119<813:TE>2.0.CO;2-T&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Trigg:1973:GPR,
author = "Charles W. Trigg",
title = "Geometric Proof of a Result of {Lehmer}'s",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "539--540",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Spira:1974:TEC,
author = "Robert Spira and Alexander Scheeline",
title = "Table errata: {``A cotangent analogue of continued
fractions'' (Duke Math. J. {\bf 4} (1938), 323--340) by
D. H. Lehmer}",
journal = j-MATH-COMPUT,
volume = "28",
pages = "677",
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10-04 (10A30)",
MRnumber = "345897",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197404)28:126<677:TE>2.0.CO;2-A&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Fuller:1976:PPN,
author = "A. T. Fuller",
title = "The period of pseudo-random numbers generated by
{Lehmer}'s congruential method",
journal = j-COMP-J,
volume = "19",
number = "2",
pages = "173--177",
month = may,
year = "1976",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Mar 25 13:51:56 MST 1997",
bibsource = "Compendex database;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/173.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/174.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/175.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/176.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/177.tif",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "922",
corpsource = "Dept. of Engng., Univ. of Cambridge, Cambridge, UK",
keywords = "Lehmer's congruential method; mathematical statistics;
numbers; period; pseudorandom; random number
generation; sequence",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Fuller:1976:PPR,
author = "A. T. Fuller",
title = "The Period of Pseudo-Random Numbers Generated by
{Lehmer}'s Congruential Method",
journal = j-COMP-J,
volume = "19",
number = "2",
pages = "173--177",
month = may,
year = "1976",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/19.2.173",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Mar 25 13:51:56 MST 1997",
bibsource = "Compendex database;
http://comjnl.oxfordjournals.org/content/19/2.toc;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/compj.bib;
https://www.math.utah.edu/pub/tex/bib/compj1970.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://comjnl.oxfordjournals.org/content/19/2/173.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/173.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/174.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/175.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/176.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/177.tif",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "922",
corpsource = "Dept. of Engng., Univ. of Cambridge, Cambridge, UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "Lehmer's congruential method; mathematical statistics;
numbers; period; pseudorandom; random number
generation; sequence",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Williams:1976:SAP,
author = "H. C. Williams and J. S. Judd",
title = "Some Algorithms for Prime Testing Using Generalized
{Lehmer} Functions",
journal = j-MATH-COMPUT,
volume = "30",
number = "136",
pages = "867--886",
month = oct,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algorithms; generalized Lehmer functions; integer;
number theory; prime testing",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Waterman:1977:MGC,
author = "M. S. Waterman",
title = "Multidimensional greatest common divisor and {Lehmer}
algorithms",
journal = j-BIT,
volume = "17",
number = "4",
pages = "465--478",
month = dec,
year = "1977",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01933456",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:15 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=17&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=17&issue=4&spage=465",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@TechReport{Kirby:1979:MFC,
author = "William H. Kirby",
title = "Machine-independent {FORTRAN} coding of {Lehmer}
random number generators",
type = "Open-file series",
number = "80- 004",
institution = "U.S. Geological Survey",
address = "Reston, VA, USA",
pages = "[i] + 11",
year = "1979",
bibdate = "Sat Jan 27 13:40:57 MST 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "Bibliography: leaf 9.",
keywords = "Random number generators --- Data processing.",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Boyd:1981:KTL,
author = "David W. Boyd",
title = "{Kronecker}'s theorem and {Lehmer}'s problem for
polynomials in several variables",
journal = j-J-NUMBER-THEORY,
volume = "13",
number = "1",
pages = "116--121",
month = feb,
year = "1981",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(81)90033-0",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:37 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X81900330",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Brillhart:1982:TEN,
author = "John Brillhart",
title = "Table errata: {``New primality criteria and
factorizations of $ 2^m \pm 1 $'' [Math. Comp. {\bf 29}
(1975), 620--647; MR {\bf 52} \#5546] by the author, D.
H. Lehmer and J. L. Selfridge}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "747--747",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "669665; 83j:10010",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(198210)39:160<747:TE>2.0.CO;2-O&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Cantor:1982:CDH,
author = "D. C. Cantor and E. G. Straus",
title = "On a conjecture of {D. H. Lehmer}",
journal = j-ACTA-ARITHMETICA,
volume = "42",
number = "1",
pages = "97--100",
year = "1982/83",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-42-1-97-100",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "12A15 (10F25)",
MRnumber = "679001",
MRreviewer = "Christopher Smyth",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Rotkiewicz:1982:ELP,
author = "A. Rotkiewicz",
title = "On {Euler Lehmer} pseudoprimes and strong {Lehmer}
pseudoprimes with parameters $ {L} $, $ {Q} $ in
arithmetic progressions",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "239--247",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A05 (10A35)",
MRnumber = "83k:10004",
MRreviewer = "Don Redmond",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Brillhart:1983:LE,
author = "John Brillhart",
title = "Letter to the editor: {``Properties of polynomials
having Fibonacci numbers for coefficients'' [Fibonacci
Quart. {\bf 21} (1983), no. 1, 62--64; MR 84f:10018a]
by D. H. Lehmer and E. Lehmer}",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "259--259",
month = nov,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10A40 (10M05)",
MRnumber = "723785",
MRreviewer = "Neville Robbins",
bibdate = "Thu Oct 20 18:00:26 MDT 2011",
bibsource = "http://www.fq.math.ca/21-4.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-4/letter.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Brillhart:1983:LEP,
author = "John Brillhart",
title = "Letter to the editor: {``Properties of polynomials
having Fibonacci numbers for coefficients'' [Fibonacci
Quart. {\bf 21} (1983), no. 1, 62--64; MR 84f:10018a]
by D. H. Lehmer and E. Lehmer}",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "259",
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
MRclass = "10A40 (10M05)",
MRnumber = "723785",
MRreviewer = "Neville Robbins",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Cantor:1983:CPC,
author = "D. C. Cantor and E. G. Straus",
title = "Correction to the paper: {``On a conjecture of D. H.
Lehmer'' [Acta Arith. {\bf 42} (1982/83), no. 1,
97--100; MR MR0679001 (84a:12004)]}",
journal = j-ACTA-ARITHMETICA,
volume = "42",
number = "3",
pages = "327",
year = "1983",
CODEN = "AARIA9",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11R06 (11J68)",
MRnumber = "729742",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Spoletini:1984:GPF,
author = "Enrico Spoletini",
title = "Generation of permutations following {Lehmer} and
{Howell}",
journal = j-MATH-COMPUT,
volume = "43",
number = "168",
pages = "565--572",
month = oct,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "05A05",
MRnumber = "86h:05006",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Lagarias:1985:CML,
author = "J. C. Lagarias and V. S. Miller and A. M. Odlyzko",
title = "Computing $ \pi (x) $: The {Meissel--Lehmer} Method",
journal = j-MATH-COMPUT,
volume = "44",
number = "170",
pages = "537--560",
month = apr,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y35 (11-04 11N05)",
MRnumber = "86h:11111",
MRreviewer = "Kenneth A. Jukes",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics); C4240 (Programming and
algorithm theory)",
corpsource = "AT\&T Bell Labs., Murray Hill, NJ, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "asymptotic running time analysis; computational
complexity; counting function; Meissel--Lehmer method;
number theory; parallel; parallel processing; partial
sieving functions; prime numbers; processors; random
access machine; recurrences; storage locations",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Ramaiah:1985:PDH,
author = "V. Sita Ramaiah",
title = "On the $ \psi $-product of {D. H. Lehmer}",
journal = "Indian J. Pure Appl. Math.",
volume = "16",
number = "9",
pages = "994--1008",
year = "1985",
ISSN = "0019-5588",
MRclass = "11A25",
MRnumber = "805847",
MRreviewer = "Calvin T. Long",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Indian Journal of Pure and Applied Mathematics",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{W:1985:BRF,
author = "H. C. W.",
title = "Book Review: {{\booktitle{Factorizations of $ b^n \pm
1, b = 2, 3, 5, 6, 7, 10, 11, 12 $ up to High Powers}}.
by John Brillhart, D. H. Lehmer, J. L. Selfridge,
Bryant Tuckerman, S. S. Wagstaff, Jr.}",
journal = "Mathematics of Computation",
volume = "45",
number = "171",
pages = "273--274",
year = "1985",
DOI = "https://doi.org/10.2307/2008069",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2008069",
acknowledgement = ack-nhfb,
reviewed-author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Shiu:1986:CST,
author = "Peter Shiu",
title = "Counting sums of two squares: the {Meissel--Lehmer}
method",
journal = j-MATH-COMPUT,
volume = "47",
number = "175",
pages = "351--360",
month = jul,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y35 (11N37 11P05)",
MRnumber = "87h:11127",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib;
JSTOR database",
note = "See corrigendum \cite{Shiu:2019:CCS}.",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Loughborough Univ. of Technol., UK",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Meissel--Lehmer method; number theory; prime-counting
function; sums of two squares",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Saito:1987:PDH,
author = "Sadao Saito",
title = "On a problem of {D. H. Lehmer} in number theory",
journal = "{Miyagi} National College of Technology. {Research}
Reports",
number = "24",
pages = "51--56 (1988)",
year = "1987",
ISSN = "0286-3707",
MRclass = "11Y99 (11A99)",
MRnumber = "953773",
MRreviewer = "Zun Shan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
ajournal = "Res. Rep. Miyagi Nat. College Tech.",
fjournal = "Miyagi National College of Technology. Research
Reports",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Ramaiah:1988:PDH,
author = "V. Sita Ramaiah",
title = "On the $ \psi $-product of {D. H. Lehmer}. {II}",
journal = "Indian J. Pure Appl. Math.",
volume = "19",
number = "1",
pages = "1--10",
year = "1988",
ISSN = "0019-5588",
MRclass = "11A25",
MRnumber = "924917",
MRreviewer = "Calvin T. Long",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Indian Journal of Pure and Applied Mathematics",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Rosen:1988:NPL,
author = "Michael I. Rosen",
title = "Notes: a Proof of the {Lucas--Lehmer} Test",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "9",
pages = "855--856",
month = nov,
year = "1988",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A51 (11Y11)",
MRnumber = "89i:11011",
MRreviewer = "John Michael Schram",
bibdate = "Mon Jun 28 12:39:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Callan:1989:LEN,
author = "David Callan",
title = "Letter to the editor: {``A new approach to Bernoulli
polynomials'' [Amer. Math. Monthly {\bf 95} (1988), no.
10, 905--911; MR0979133 (90c:11014)] by D. H. Lehmer}",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "6",
pages = "510--510",
month = jun # "\slash " # jul,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B68",
MRnumber = "999413; 90g:11024",
MRreviewer = "W. Herget",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See \cite{Lehmer:1988:NAB}.",
URL = "http://links.jstor.org/sici?sici=0002-9890(198906/198907)96:6<510:LTTE>2.0.CO;2-Y&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Akiyama:1990:LNA,
author = "Shigeki Akiyama",
title = "{Lehmer} numbers and an asymptotic formula for $ \pi
$",
journal = j-J-NUMBER-THEORY,
volume = "36",
number = "3",
pages = "328--331",
month = nov,
year = "1990",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(90)90093-7",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:47:06 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X90900937",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Kleiner:1990:ECP,
author = "Hans-J. Kleiner",
title = "Errata: {``Coloring the Platonic solids'' [Amer. Math.
Monthly {\bf 93} (1986), no. 4, 288--292; MR0835299
(87e:05072)] by D. H. Lehmer}",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "5",
pages = "412--412",
month = may,
year = "1990",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05C15",
MRnumber = "1048926; 91a:05044",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
note = "See \cite{Lehmer:1986:NCP}.",
URL = "http://links.jstor.org/sici?sici=0002-9890(199005)97:5<412:EACTPS>2.0.CO;2-G&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Darmon:1991:NPE,
author = "Henri Darmon",
title = "Note on a Polynomial of {Emma Lehmer}",
journal = j-MATH-COMPUT,
volume = "56",
number = "194",
pages = "795--800",
month = apr,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11R20 (11G16)",
MRnumber = "91i:11149",
MRreviewer = "Lawrence Washington",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290F
(Interpolation and function approximation); C1160
(Combinatorial mathematics); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math., Harvard Univ., Cambridge, MA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "fundamental units; Gauss sums; Gaussian; modular
curves; number theory; periods; polynomial;
polynomials; prime conductor; real quintic fields",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{McDaniel:1991:GCD,
author = "Wayne L. McDaniel",
title = "The {G.C.D.} in {Lucas} Sequences and {Lehmer} Number
Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "24--29",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
bibsource = "http://www.fq.math.ca/29-1.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Anonymous:1992:PDH,
author = "Anonymous",
title = "Publications of {D. H. Lehmer}",
journal = j-ACTA-ARITHMETICA,
volume = "62",
number = "3",
pages = "215--220",
year = "1992",
CODEN = "AARIA9",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "01A70",
MRnumber = "1197417",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@InProceedings{Deng:1992:GLT,
author = "L.-Y. Deng and C. Rousseau and Y. Yuan",
title = "Generalized {Lehmer--Tausworthe} Random Number
Generators",
crossref = "Vouk:1992:PAS",
pages = "108--115",
year = "1992",
DOI = "https://doi.org/10.1145/503720.503758",
bibdate = "Mon Feb 27 18:16:47 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Apostol:1993:ELP,
author = "Tom M. Apostol",
title = "An extension of the {Lehmers}' picturesque exponential
sums",
journal = j-MATH-COMPUT,
volume = "61",
number = "203",
pages = "25--28",
month = jul,
year = "1993",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11L03",
MRnumber = "93k:11071",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Bruce:1993:RTP,
author = "J. W. Bruce",
title = "A Really Trivial Proof of the {Lucas--Lehmer} Test",
journal = j-AMER-MATH-MONTHLY,
volume = "100",
number = "4",
pages = "370--371",
month = apr,
year = "1993",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A51",
MRnumber = "94c:11006",
MRreviewer = "Richard P. Lewis",
bibdate = "Mon Jun 28 12:37:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Csordas:1993:NLP,
author = "G. Csordas and A. M. Odlyzko and W. Smith and R. S.
Varga",
title = "A new {Lehmer} pair of zeros and a new lower bound for
the {de Bruijn--Newman} constant {$ \Lambda $}",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "1",
pages = "104--111",
year = "1993",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Mon Sep 6 12:28:29 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.1.1993/pp104-111.dir/pp104-111.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Loewenthal:1993:ILS,
author = "Dan Loewenthal",
title = "Improvements on the {Lehmer--Schur} Root Detection
Method",
journal = j-J-COMPUT-PHYS,
volume = "109",
number = "2",
pages = "164--168",
month = dec,
year = "1993",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1006/jcph.1993.1209",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:54:52 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S002199918371209X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Shannon:1993:CGL,
author = "A. G. Shannon and R. S. Melham",
title = "{Carlitz} Generalizations of {Lucas} and {Lehmer}
Sequences",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "105--111",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
bibsource = "http://www.fq.math.ca/31-2.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Wenpeng:1993:PDH,
author = "Zhang Wenpeng",
title = "On a problem of {D. H. Lehmer} and its
generalization",
journal = j-COMPOS-MATH,
volume = "86",
number = "3",
pages = "307--316",
year = "1993",
CODEN = "CMPMAF",
ISSN = "0010-437x (print), 1570-5846 (electronic)",
ISSN-L = "0010-437X",
MRclass = "11N69 (11L05)",
MRnumber = "1219630",
MRreviewer = "Jerzy Kaczorowski",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.numdam.org/item?id=CM_1993__86_3_307_0",
acknowledgement = ack-nhfb,
fjournal = "Compositio Mathematica",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:1993:PDH,
author = "Wen Peng Zhang",
title = "A problem of {D. H. Lehmer} and a generalization of
it",
journal = "J. Northwest Univ.",
volume = "23",
number = "2",
pages = "103--108",
year = "1993",
ISSN = "1000-274X",
MRclass = "11N37 (11L05)",
MRnumber = "1235734",
MRreviewer = "Tian Ze Wang",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@InProceedings{Csordas:1994:LPZa,
author = "George Csordas and Wayne [Stewart] Smith and Richard
S. Varga",
editor = "Walter Gautschi",
booktitle = "{{\booktitle{Mathematics of Computation}}} 1943--1993:
a half-century of computational mathematics
({Vancouver, BC}, 1993)",
title = "{Lehmer} pairs of zeros and the {Riemann} $ \xi
$-function",
crossref = "Gautschi:1994:MCH",
volume = "48",
pages = "553--556",
year = "1994",
DOI = "https://doi.org/10.1090/psapm/048/1314889",
MRclass = "11M26",
MRnumber = "1314889 (96b.11119)",
MRreviewer = "Masumi Nakajima",
bibdate = "Thu Oct 25 14:53:00 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
series = "Proc. Sympos. Appl. Math.",
URL = "http://www.ams.org/books/psapm/048/;
http://www.math.kent.edu/~varga/pub/paper_209.pdf",
ZMnumber = "822.30025",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Csordas:1994:LPZb,
author = "George Csordas and Wayne Smith and Richard S. Varga",
title = "{Lehmer} pairs of zeros, the {de Bruijn--Newman}
constant {$ \Lambda $}, and the {Riemann} hypothesis",
journal = j-CONST-APPROX,
volume = "10",
number = "1",
pages = "107--129",
year = "1994",
DOI = "https://doi.org/10.1007/BF01205170",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "30D10 (30D15)",
MRnumber = "1260363 (94k:30061)",
MRreviewer = "Timothy S. Norfolk",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_206.pdf",
ZMnumber = "792.30020",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@InProceedings{Ray:1994:LPV,
author = "Gary A. Ray",
title = "A locally parameterized version of {Lehmer}'s
problem",
crossref = "Gautschi:1994:MCH",
pages = "573--576",
year = "1994",
bibdate = "Thu Oct 25 14:53:00 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:1994:DBD,
author = "Wen Peng Zhang",
title = "On the difference between a {D. H. Lehmer} number and
its inverse modulo $q$",
journal = j-ACTA-ARITHMETICA,
volume = "68",
number = "3",
pages = "255--263",
year = "1994",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-68-3-255-263",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1308126",
MRreviewer = "Takeo Funakura",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:1994:DDH,
author = "Wen Peng Zhang",
title = "The distribution of {D. H. Lehmer} numbers in an
arithmetic progression",
journal = "J. Northwest Univ.",
volume = "24",
number = "6",
pages = "471--474",
year = "1994",
ISSN = "1000-274X",
MRclass = "11N25",
MRnumber = "1342472",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:1994:PDH,
author = "Wen Peng Zhang",
title = "A problem of {D. H. Lehmer} and its generalization.
{II}",
journal = j-COMPOS-MATH,
volume = "91",
number = "1",
pages = "47--56",
year = "1994",
CODEN = "CMPMAF",
ISSN = "0010-437x (print), 1570-5846 (electronic)",
ISSN-L = "0010-437X",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1273925",
MRreviewer = "Takeo Funakura",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.numdam.org/item?id=CM_1994__91_1_47_0",
acknowledgement = ack-nhfb,
fjournal = "Compositio Mathematica",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Jebelean:1995:DDL,
author = "Tudor Jebelean",
title = "A Double-Digit {Lehmer--Euclid} Algorithm for Finding
the {GCD} of Long Integers",
journal = j-J-SYMBOLIC-COMP,
volume = "19",
number = "1/2/3",
pages = "145--158 (or 145--157??)",
month = jan # ", " # feb # ", " # mar,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "11Y16",
MRnumber = "96h:11128",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jsymcomp.bib",
note = "Design and implementation of symbolic computation
systems (Gmunden, 1993).",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Res. Inst. for Symbolic Comput., Johannes Kepler
Univ., Linz, Austria",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171/",
keywords = "approximative GCD computation; arithmetic;
double-digit Lehmer--Euclid algorithm; GCD; greatest
common divisor; long integers; long multiplications;
mathematics computing; partial cosequence computation;
Special issue on DISCO 1993; symbol manipulation",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Sorenson:1995:ALE,
author = "Jonathan Sorenson",
title = "An analysis of {Lehmer}'s {Euclidean} {GCD}
algorithm",
crossref = "Levelt:1995:IPI",
pages = "254--258",
year = "1995",
DOI = "https://doi.org/10.1145/220346.220378",
bibdate = "Thu Mar 12 08:42:30 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/issac.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p254-sorenson/",
abstract = "Let $u$ and $v$ be positive integers. We show that a
slightly modified version of D. H. Lehmer's greatest
common divisor algorithm will compute $ \gcd (u, v) $
(with $ u > v $ ) using at most $ O((\log {}u \log {}v)
/ k + k \log {}v + \log {}u + k^2) $ bit operations and
$ O(\log {}u + k2^{2k}) $ space, where $k$ is the
number of bits in the multiprecision base of the
algorithm. This is faster than Euclid's algorithm by a
factor that is roughly proportional to $k$. Letting $n$
be the number of bits in $u$ and $v$, and setting $ k =
((\log {}n) / 4) $, we obtain a subquadratic running
time of $ O(n^2 / \log {}n) $ in linear space.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Comput. Sci., Butler Univ.,
Indianapolis, IN, USA",
classification = "C1160 (Combinatorial mathematics); C4260
(Computational geometry)",
keywords = "algebraic computation, Lehmer's Euclidean GCD
algorithm; algorithms; Greatest common divisor
algorithm; ISSAC; Linear space; Multiprecision base;
Positive integers; Subquadratic running time; symbolic
computation; theory; verification",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf F.2.1} Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Number-theoretic
computations.",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
thesaurus = "Computational geometry",
}
@Article{Voutier:1995:PDL,
author = "Paul M. Voutier",
title = "Primitive divisors of {Lucas} and {Lehmer} sequences",
journal = j-MATH-COMPUT,
volume = "64",
number = "210",
pages = "869--888",
month = apr,
year = "1995",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11D61 (11B39 11Y50)",
MRnumber = "95f:11022",
MRreviewer = "B. M. M. de Weger",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Deleglise:1996:CML,
author = "M. Del{\'e}glise and J. Rivat",
title = "Computing $ \pi (x) $: the {Meissel}, {Lehmer},
{Lagarias}, {Miller}, {Odlyzko} method",
journal = j-MATH-COMPUT,
volume = "65",
number = "213",
pages = "235--245",
month = jan,
year = "1996",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y35 (11N05 11Y70)",
MRnumber = "96d:11139",
MRreviewer = "Andrew Granville",
bibdate = "Fri Jul 16 10:38:30 MDT 1999",
bibsource = "http://www.ams.org/mcom/1996-65-213;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00674-6&u=/mcom/1996-65-213/",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4240C
(Computational complexity)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "combinatorial mathematics; combinatorial method;
complexity; computational complexity; number of
primes",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Paplinski:1996:HIL,
author = "A. P. Paplinski and N. Bhattacharjee",
title = "Hardware implementation of the {Lehmer} random number
generator",
journal = j-IEE-PROC-COMPUT-DIGIT-TECH,
volume = "143",
number = "1",
pages = "93--95",
year = "1996",
CODEN = "ICDTEA",
DOI = "https://doi.org/10.1049/ip-cdt:19960100",
ISSN = "1350-2387 (print), 1359-7027 (electronic)",
ISSN-L = "1350-2387",
bibdate = "Mon Jan 16 15:57:34 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.aip.org/link/?ICE/143/93/1",
acknowledgement = ack-nhfb,
fjournal = "IEE Proceedings. Computers and Digital Techniques",
keywords = "carry-propagate adder; carry-propagate subtracter;
carry-save adders; fast hardware implementation; Lehmer
random number generator; linear congruential;
multiplication mod M; pseudorandom number generators;
Sylvester resultant matrices",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Wang:1996:DDB,
author = "Hui Wang and Li Gao and Zhi Xing Hu",
title = "The distribution of the difference between the {D. H.
Lehmer} number and its inverse in the primitive roots
modulo $q$",
journal = "J. Northwest Univ.",
volume = "26",
number = "4",
pages = "281--284",
year = "1996",
ISSN = "1000-274X",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1436326",
MRreviewer = "Wen-Bin Zhang",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Wang:1996:DDH,
author = "Hui Wang and Zhi Xing Hu and Li Gao",
title = "The distribution of the {D. H. Lehmer} numbers among
the primitive roots modulo $q$",
journal = "Pure Appl. Math. (Xi'an)",
volume = "12",
number = "2",
pages = "84--88",
year = "1996",
ISSN = "1008-5513",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1434019",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Pure and Applied Mathematics. Chuncui Shuxue yu
Yingyong Shuxue",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Dyadkin:1997:FEL,
author = "Iosif G. Dyadkin and Kenneth G. Hamilton",
title = "A family of enhanced {Lehmer} random number
generators, with hyperplane suppression, and direct
support for certain physical applications",
journal = j-COMP-PHYS-COMM,
volume = "107",
number = "1--3",
pages = "258--280",
day = "22",
month = dec,
year = "1997",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(97)00101-X",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65C10 86-08 86A20",
bibdate = "Mon Feb 13 21:30:21 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.cpc.cs.qub.ac.uk/cpc/;
http://www.cpc.cs.qub.ac.uk/cpc/cgi-bin/list_summary.pl?CatNumber=ADGW;
http://www.sciencedirect.com/science/article/pii/S001046559700101X",
ZMnumber = "0938.65006",
abstract = "Over two hundred congruential pseudorandom number
generators, each with a different multiplier, are built
into a single assembler routine that returns 32-bit
integer and floating-point values. This gives a Monte
Carlo user the opportunity of selecting a combination
of sequences, so as to provide a greater appearance of
chaos. The software makes use of extended 64-bit
arithmetic on Intel 386/387 (or higher) chips, thus
attaining a period of 262 for each of the individual
generators. The routine also features entry points that
more directly support certain applications, such as
well logging in nuclear geophysics. In addition to the
customary uniform (0,1) ``white noise'' generator, the
package provides values distributed according to the
exponential and Gaussian distributions, random unit
vectors in two and three dimensions, as well as
Klein--Nishina and neutron scattering distributions.",
acknowledgement = ack-nhfb,
annote = "This paper describes a Fortran-callable Intel IA-32
assembly language implementation of a family of 200
pseudo-random number generators, based on earlier work
\cite{Dyadkin:1997:SBM}, with associated routines for
generating several distributions (uniform, exponential,
Gaussian, 2-D and 3-D unit vectors, plus several
specific to physics applications). It contains a good
discussion of randomness-testing procedures, and
comparisons with other algorithms, including the
ziggurat method
\cite{Marsaglia:1984:FEI,Marsaglia:2000:ZMG} used in
Matlab version 5 and later \cite{Moler:2001:CCN}. The
software is available from the CPC Library, for a fee,
and with use restrictions.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "RNLEHMER200 (Intel IA-32 assembly language, 4044
Lines)",
remark = "The authors present a set of 210 good multipliers for
a 64-bit MCG with modulus $ 2^{32} $, and propose
returning the sequence $ \{ R(G[1]), R(G[2]), \ldots,
R(G[210]), \} $, cycling first by generator, and then
by random value, in order to mix up the MCG output.
Alternatively, for further mixing, they can use an
additional multiplier to generate a random generator
index that shuffles the data further. Also, they
compute a 64-bit MCG value, but discard the less-random
lower 32-bits. That produces a sequence of values whose
rightmost (low-order) bit has period $ 2^{31} $, and
the leftmost (high-order) bit has period $ 2^{62} $.",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
xxURL = "http://www.cpc.cs.qub.ac.uk/cpc/;
http://www.cpc.cs.qub.ac.uk/cpc/cgi-bin/list_summary.pl?CatNumber=ADGW",
}
@Article{Dyadkin:1997:SBM,
author = "Iosif G. Dyadkin and Kenneth G. Hamilton",
title = "A study of $ 64 $-bit multipliers for {Lehmer}
pseudorandom number generators",
journal = j-COMP-PHYS-COMM,
volume = "103",
number = "2--3",
pages = "103--130",
month = jul,
year = "1997",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(97)00052-0",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65C10",
MRnumber = "98f:65013",
bibdate = "Mon Feb 13 21:30:16 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465597000520",
ZMnumber = "0980.65007",
abstract = "A study was conducted of multipliers for 64-bit
congruential pseudorandom number generators. Extensive
analysis and testing resulted in the identification of
over $ 200 $ good multipliers of the form $ A = 5^k $,
where $k$ is a prime number. The integer lattice
structure from any single multiplier is so fine that it
is not visible when {\tt REAL*4} values are returned in
up to four dimensions. Known number-theoretic
characteristics of $ m = 2^l $ generators were
exploited to provide a remarkably sensitive new lattice
test, one that is based on analysis of spacings in
several dimensions. That examination led to new methods
that can provide lattice-free pseudorandom streams in
up to 200 dimensions, and with extended period
length.",
acknowledgement = ack-nhfb,
annote = "This is the theoretical work behind the software
\cite{Dyadkin:1997:FEL}. The linear-congruential
generators have multipliers of the form $ A = 5^k \bmod
2^{64} $, where $k$ is a prime number, and testing has
identified more than 200 suitable values of $k$. This
work was later updated for 128-bit arithmetic
\cite{Dyadkin:2000:SBM}.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Filipponi:1997:SFS,
author = "Piero Filipponi",
title = "Summation Formulas for Special {Lehmer} Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "252--257",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Carlip:1998:PPN,
author = "W. Carlip and Eliot Jacobson and Lawrence Somer",
title = "Pseudoprimes, Perfect Numbers, and a Problem of
{Lehmer}",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "361--371",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/carlip.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhao:1998:DDH,
author = "Zhen Zhao and Li Gao",
title = "The distribution of the {D. H. Lehmer} numbers and
their divisibility in primitive roots modulo $n$",
journal = "Pure Appl. Math. (Xi'an)",
volume = "14",
number = "2",
pages = "88--90, 92",
year = "1998",
ISSN = "1008-5513",
MRclass = "11N64",
MRnumber = "1675799",
MRreviewer = "Hong Ze Li",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Pure and Applied Mathematics. Chuncui Shuxue yu
Yingyong Shuxue",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Einsiedler:2000:PSA,
author = "Manfred Einsiedler and Graham Everest and Thomas
Ward",
title = "Primes in sequences associated to polynomials (after
{Lehmer})",
journal = j-LMS-J-COMPUT-MATH,
volume = "3",
pages = "125--139",
year = "2000",
CODEN = "????",
DOI = "https://doi.org/10.1112/S1461157000000255",
ISSN = "1461-1570",
ISSN-L = "1461-1570",
MRclass = "11C08 (11A51)",
MRnumber = "2002a:11017",
MRreviewer = "D. Boyd",
bibdate = "Fri Nov 29 08:13:48 2002",
bibsource = "http://journals.cambridge.org/action/displayJournal?jid=JCM;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/lms-j-comput-math.bib",
URL = "http://www.lms.ac.uk/jcm/3/lms2000-004/",
acknowledgement = ack-nhfb,
ajournal = "LMS J. Comput. Math.",
fjournal = "LMS Journal of Computation and Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=JCM",
onlinedate = "01 February 2010",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gao:2000:DPD,
author = "Li Gao and Zhen Zhao and Hui Wang",
title = "The distribution property of {D. H. Lehmer} numbers",
journal = "J. Zhengzhou Univ. Nat. Sci. Ed.",
volume = "32",
number = "1",
pages = "12--15",
year = "2000",
ISSN = "1671-6841",
MRclass = "11N37 (11L05)",
MRnumber = "1774810",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Zhengzhou University. Natural Science
Edition. Zhengzhou Daxue Xuebao. Lixue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Deng:2001:GDH,
author = "Yu Ping Deng and Wen Peng Zhang",
title = "A generalization of {D. H. Lehmer}'s problem",
journal = "J. Northwest Univ.",
volume = "31",
number = "4",
pages = "277--280",
year = "2001",
ISSN = "1000-274X",
MRclass = "11N37 (11L05)",
MRnumber = "1860250",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gao:2001:CRD,
author = "Li Gao and Zhen Zhao",
title = "Congruence relations of {D. H. Lehmer} numbers in the
residues system of modulo $p$",
journal = "J. Jishou Univ. Nat. Sci. Ed.",
volume = "22",
number = "3",
pages = "69--72",
year = "2001",
ISSN = "1007-2985",
MRclass = "11A07",
MRnumber = "1873900",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Jishou University. Journal. Natural Science Edition.
Jishou Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gao:2001:DDB,
author = "Li Gao and Zhen Zhao",
title = "Distribution of the difference between {D. H. Lehmer}
numbers and their inverses",
journal = "J. Jishou Univ. Nat. Sci. Ed.",
volume = "22",
number = "1",
pages = "56--58",
year = "2001",
ISSN = "1007-2985",
MRclass = "11L05",
MRnumber = "1828660",
MRreviewer = "Zun Shan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Jishou University. Journal. Natural Science Edition.
Jishou Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Hironaka:2001:LPP,
author = "Eriko Hironaka",
title = "The {Lehmer} Polynomial and Pretzel Links",
journal = j-CAN-MATH-BULL,
volume = "44",
number = "4",
pages = "440--451",
month = dec,
year = "2001",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2001-044-x",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:17:01 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v44/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
note = "See erratum \cite{Hironaka:2002:ELP}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@InProceedings{Sedjelmaci:2001:PLE,
author = "Sidi Mohammed Sedjelmaci",
title = "On a parallel {Lehmer--Euclid GCD} algorithm",
crossref = "Mourrain:2001:IJU",
pages = "303--308",
year = "2001",
bibdate = "Wed May 15 14:28:03 MDT 2002",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/issac.bib",
acknowledgement = ack-nhfb,
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Book{Brillhart:2002:FHP,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $, $ b = 2, 3, 5, 6, 7,
10, 11, 12 $ up to high powers",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Third",
pages = "????",
year = "2002",
ISBN = "????",
ISBN-13 = "????",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA161.F3 F33 2002",
bibdate = "Sat Mar 10 10:18:16 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
acknowledgement = ack-nhfb,
remark = "Factorizations of the form in the title are of
interest for simplifying computations in the
determination of optimal parameters for linear and
multiplicative congruential generators.",
remark-2 = "I cannot find this in most library catalogs, or at the
publisher Web site, or in the MathSciNet database. No
ISBN or page count can be found either.",
subject = "factors (algebra); tables",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gao:2002:CPL,
author = "Li Gao and Zhen Zhao",
title = "On the congruence property of {Lehmer, D. H.}
numbers",
journal = "Natur. Sci. J. Harbin Normal Univ.",
volume = "18",
number = "5",
pages = "13--16",
year = "2002",
ISSN = "1000-5617",
MRclass = "11A07",
MRnumber = "1971231",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Natural Science Journal of Harbin Normal University.
Harbin Shifan Daxue Ziran Kexue Xuebao",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Hironaka:2002:ELP,
author = "Eriko Hironaka",
title = "Erratum: {``The Lehmer Polynomial and Pretzel
Links''}",
journal = j-CAN-MATH-BULL,
volume = "45",
number = "2",
pages = "231--231",
month = jun,
year = "2002",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2002-026-7",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Mon Nov 5 15:18:58 MST 2012",
bibsource = "http://cms.math.ca/cmb/v45/;
http://cms.math.ca/cmb/v45/n2;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
note = "See \cite{Hironaka:2001:LPP}.",
abstract = "Erratum to $ T h e L e h m e r P o l y n o m i a l a n
d P r e t z e l L i n k s $, Canad. J. Math. {\bf 44}
(2001), 440--451.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Yuan:2002:GPD,
author = "Yi Yuan and Zhang Wenpeng",
title = "On the generalization of a problem of {D. H. Lehmer}",
journal = "Kyushu J. Math.",
volume = "56",
number = "2",
pages = "235--241",
year = "2002",
DOI = "https://doi.org/10.2206/kyushujm.56.235",
ISSN = "1340-6116",
MRclass = "11N69",
MRnumber = "1934124",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Kyushu Journal of Mathematics",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gao:2003:DDH,
author = "Li Gao",
title = "Distribution of the {D. H. Lehmer} number of primitive
roots modulo $p$",
journal = "Natur. Sci. J. Harbin Normal Univ.",
volume = "19",
number = "2",
pages = "21--22",
year = "2003",
ISSN = "1000-5617",
MRclass = "11L07 (11L05)",
MRnumber = "2086818",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Natural Science Journal of Harbin Normal University.
Harbin Shifan Daxue Ziran Kexue Xuebao",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Luca:2003:MGG,
author = "Florian Luca and {\v{S}}tefan Porubsk{\'y}",
title = "The Multiplicative Group Generated by the {Lehmer}
Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "122--132",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Wenpeng:2003:PDH,
author = "Zhang Wenpeng",
title = "On a problem of {D. H. Lehmer} and {Kloosterman}
sums",
journal = j-MONAT-MATH,
volume = "139",
number = "3",
pages = "247--257",
year = "2003",
CODEN = "MNMTA2",
DOI = "https://doi.org/10.1007/s00605-002-0529-5",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
ISSN-L = "0026-9255",
MRclass = "11L05",
MRnumber = "1994384",
MRreviewer = "Moubariz Z. Garaev",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik",
journal-URL = "http://link.springer.com/journal/605",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Yi:2003:GLD,
author = "Yuan Yi and Wen-peng Zhang",
title = "On generalization of {Lehmer, D. H.} problem",
journal = "Gongcheng Shuxue Xuebao",
volume = "20",
number = "1",
pages = "60--64",
year = "2003",
ISSN = "1005-3085",
MRclass = "11L07 (11N69)",
MRnumber = "1975320",
MRreviewer = "Charles Helou",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Gongcheng Shuxue Xuebao. Chinese Journal of
Engineering Mathematics",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2003:PDHa,
author = "Wenpeng Zhang",
title = "A problem of {D. H. Lehmer} and its mean square value
formula",
journal = j-JAPAN-J-MATH-N-S,
volume = "29",
number = "1",
pages = "109--116",
year = "2003",
DOI = "https://doi.org/10.4099/math1924.29.109",
ISSN = "0289-2316",
MRclass = "11N37 (11N69)",
MRnumber = "1986866",
MRreviewer = "Wenguang Zhai",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Japanese Journal of Mathematics. New Series",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2003:PDHb,
author = "Wenpeng Zhang and Xu Zongben and Yi Yuan",
title = "A problem of {D. H. Lehmer} and its mean square value
formula",
journal = j-J-NUMBER-THEORY,
volume = "103",
number = "2",
pages = "197--213",
month = dec,
year = "2003",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/S0022-314X(03)00113-6",
ISSN = "0022-314x (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
MRclass = "11L07 (11N25)",
MRnumber = "2020268",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X03001136",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Daireaux:2004:DAP,
author = "Beno{\^i}t Daireaux and Brigitte Vall{\'e}e",
title = "Dynamical Analysis of the Parametrized
{Lehmer--Euclid} Algorithm",
journal = j-COMBIN-PROBAB-COMPUT,
volume = "13",
number = "4--5",
pages = "499--536",
month = jul,
year = "2004",
CODEN = "CPCOFG",
DOI = "https://doi.org/10.1017/S0963548304006261",
ISSN = "0963-5483 (print), 1469-2163 (electronic)",
ISSN-L = "0963-5483",
bibdate = "Mon Jul 7 19:40:22 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/combinprobabcomput.bib",
URL = "http://journals.cambridge.org/action/displayIssue?jid=CPC&volumeId=13&issueId=04",
acknowledgement = ack-nhfb,
ajournal = "Combin. Probab. Comput.",
fjournal = "Combinatorics, Probability and Computing",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=CPC",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gao:2004:DPL,
author = "Li Gao",
title = "On the distribution property of {Lehmer, D. H.}
number",
journal = "Chinese Quart. J. Math.",
volume = "19",
number = "1",
pages = "75--78",
year = "2004",
ISSN = "1002-0462",
MRclass = "11N69 (11L05)",
MRnumber = "2080053",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Chinese Quarterly Journal of Mathematics. Shuxue
Jikan",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gao:2004:GDD,
author = "Li Gao",
title = "A generalization of the distribution of the {D. H.
Lehmer} numbers",
journal = "J. Tianjin Norm. Univ. Nat. Sci. Ed.",
volume = "24",
number = "2",
pages = "38--41",
year = "2004",
ISSN = "1671-1114",
MRclass = "11N64 (11L05 11L07)",
MRnumber = "2080988",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Tianjin Normal University. Natural Science
Edition. Tianjin Shifan Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@InCollection{Jones:2004:ETD,
author = "Lenny Jones",
booktitle = "Number theory",
title = "An extension of a theorem of {D. H. Lehmer}",
volume = "36",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "165--176",
year = "2004",
MRclass = "11D59 (11B37)",
MRnumber = "2076592",
MRreviewer = "Yuri Bilu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "CRM Proc. Lecture Notes",
acknowledgement = ack-nhfb,
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2004:PDH,
author = "Wen Peng Zhang",
title = "On a problem of {D. H. Lehmer} and general
{Kloosterman} sums",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "20",
number = "3",
pages = "515--524",
year = "2004",
DOI = "https://doi.org/10.1007/s10114-004-0329-z",
ISSN = "1439-8516",
MRclass = "11N69 (11L07)",
MRnumber = "2084715",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{You:2005:GPD,
author = "Qi Ying You",
title = "A generalization of a problem of {D. H. Lehmer}",
journal = "Basic Sci. J. Text. Univ.",
volume = "18",
number = "1",
pages = "39--42",
year = "2005",
ISSN = "1006-8341",
MRclass = "11L07",
MRnumber = "2144018",
MRreviewer = "Wenguang Zhai",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Basic Sciences Journal of Textile Universities.
Fangzhi Gaoxiao Jichu Kexue Xuebao",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Jaroma:2006:PTP,
author = "John H. Jaroma",
title = "On primes and terms of prime or $ 2^k $ index in the
{Lehmer} sequences",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "202--208",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
bibsource = "http://www.fq.math.ca/44-3.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/jaroma.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Liu:2006:PDH,
author = "Hua Ning Liu and Wen Peng Zhang",
title = "On a problem of {D. H. Lehmer}",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "22",
number = "1",
pages = "61--68",
year = "2006",
DOI = "https://doi.org/10.1007/s10114-004-0464-6",
ISSN = "1439-8516",
MRclass = "11N37 (11N69)",
MRnumber = "2200600",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Weili:2006:GDH,
author = "Yao Weili",
title = "On the generalization of the {D. H. Lehmer} problem
and its mean value",
journal = "JP J. Algebra Number Theory Appl.",
volume = "6",
number = "3",
pages = "479--491",
year = "2006",
ISSN = "0972-5555",
MRclass = "11N69 (11M20)",
MRnumber = "2284511",
MRreviewer = "Arnaud Chadozeau",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "JP Journal of Algebra, Number Theory and
Applications",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Xu:2006:PDH,
author = "Zhefeng Xu and Wenpeng Zhang",
title = "On a problem of {D. H. Lehmer} over short intervals",
journal = j-J-MATH-ANAL-APPL,
volume = "320",
number = "2",
pages = "756--770",
year = "2006",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2005.07.054",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "11N69 (11M20)",
MRnumber = "2225991",
MRreviewer = "Arnaud Chadozeau",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Ghioca:2007:LIM,
author = "Dragos Ghioca",
title = "The {Lehmer} inequality and the {Mordell--Weil}
theorem for {Drinfeld} modules",
journal = j-J-NUMBER-THEORY,
volume = "122",
number = "1",
pages = "37--68",
month = jan,
year = "2007",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2006.03.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:21 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X06000680",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Ghioca:2007:LLI,
author = "Dragos Ghioca",
title = "The local {Lehmer} inequality for {Drinfeld} modules",
journal = j-J-NUMBER-THEORY,
volume = "123",
number = "2",
pages = "426--455",
month = apr,
year = "2007",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2006.07.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:23 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X06001685",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Liu:2007:HMVa,
author = "Huaning Liu and Wenpeng Zhang",
title = "Hybrid mean value for a generalization of a problem of
{D. H. Lehmer}",
journal = j-ACTA-ARITHMETICA,
volume = "130",
number = "1",
pages = "1--17",
year = "2007",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa130-1-1",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11L05 (11F20 11L07)",
MRnumber = "2354146",
MRreviewer = "Ioulia N. Baoulina",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Liu:2007:HMVb,
author = "Huaning Liu and Wenpeng Zhang",
title = "Hybrid mean value results for a generalization on a
problem of {D. H. Lehmer} and hyper-{Kloosterman}
sums",
journal = "Osaka J. Math.",
volume = "44",
number = "3",
pages = "615--637",
year = "2007",
ISSN = "0030-6126",
MRclass = "11L05",
MRnumber = "2360943",
MRreviewer = "Guillaume Ricotta",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.ojm/1189717425",
acknowledgement = ack-nhfb,
fjournal = "Osaka Journal of Mathematics",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Liu:2007:PDH,
author = "Huaning Liu",
title = "On a problem of {D. H. Lehmer} and hyper-{Kloosterman}
sums",
journal = "Adv. Math. (China)",
volume = "36",
number = "2",
pages = "245--252",
year = "2007",
ISSN = "1000-0917",
MRclass = "11L05",
MRnumber = "2362739",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Advances in Mathematics (China). Shuxue Jinzhan",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Louboutin:2007:PDH,
author = "St{\'e}phane R. Louboutin and Jo{\"e}l Rivat and
Andr{\'a}s S{\'a}rk{\"o}zy",
title = "On a problem of {D. H. Lehmer}",
journal = j-PROC-AM-MATH-SOC,
volume = "135",
number = "4",
pages = "969--975",
year = "2007",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-06-08558-3",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "11K45 (11L05 11L40)",
MRnumber = "2262896",
MRreviewer = "M. Mend\`es France",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Murty:2007:VLC,
author = "V. Kumar Murty",
title = "A variant of {Lehmer}'s conjecture",
journal = j-J-NUMBER-THEORY,
volume = "123",
number = "1",
pages = "80--91",
month = mar,
year = "2007",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2006.06.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:22 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X06001314",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Bonciocat:2008:CLP,
author = "Nicolae Ciprian Bonciocat",
title = "Congruences and {Lehmer}'s Problem",
journal = j-INT-J-NUMBER-THEORY,
volume = "4",
number = "4",
pages = "587--596",
month = aug,
year = "2008",
DOI = "https://doi.org/10.1142/S1793042108001547",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:17 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042108001547",
abstract = "We obtain explicit lower bounds for the Mahler measure
for nonreciprocal polynomials with integer coefficients
satisfying certain congruences.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Corry:2008:FMS,
author = "Leo Corry",
title = "{Fermat} Meets {SWAC}: {Vandiver}, the {Lehmers},
Computers, and Number Theory",
journal = j-IEEE-ANN-HIST-COMPUT,
volume = "30",
number = "1",
pages = "38--49",
month = jan # "\slash " # mar,
year = "2008",
CODEN = "IAHCEX",
DOI = "https://doi.org/10.1109/MAHC.2008.6",
ISSN = "1058-6180 (print), 1934-1547 (electronic)",
ISSN-L = "1058-6180",
bibdate = "Thu Jul 3 10:46:12 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{David:2008:PLA,
author = "Sinnou David and Am{\'i}lcar Pacheco",
title = "Le probl{\`e}me de {Lehmer} ab{\'e}lien pour un module
de {Drinfel'd}. ({French}) [{The} {Lehmer} abelien
problem for a {Drinfel'd} module]",
journal = j-INT-J-NUMBER-THEORY,
volume = "4",
number = "6",
pages = "1043--1067",
month = dec,
year = "2008",
DOI = "https://doi.org/10.1142/S1793042108001870",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:18 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042108001870",
abstract = "Let \varphi be a Drinfel'd module defined over a
finite extension K of {$ \mathbb {F} $}$_q$ (T); we
establish a uniform lower bound for the canonical
height of a point of \varphi, rational over the maximal
abelian extension of K, and thus solve the so-called
abelian version of the Lehmer problem in this
situation. The classical original problem (a non
torsion point in {$ \mathbb {G} $}$_m$ ({$ \mathbb
{Q}$}$^{ab}$)) was solved by Amoroso and Dvornicich
[1]. Soit \varphi un module de Drinfel'd d{\'e}fini sur
une extension finie K de {$ \mathbb {F} $}$_q$ (T);
nous d{\'e}montrons une minoration uniforme pour la
hauteur canonique d'un point de \varphi, rationnel sur
l'extension ab{\'e}lienne maximale de K, et
r{\'e}solvons ainsi la version dite ab{\'e}lienne du
probl{\`e}me de Lehmer dans cette situation. Dans le
cadre classique (un point d'ordre infini de {$ \mathbb
{G} $}$_m$ ({$ \mathbb {Q}$}$^{ab}$)), cette question a
{\'e}t{\'e} r{\'e}solue par Amoroso et Dvornicich dans
[1].",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
language = "French",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Liu:2008:PDH,
author = "Huaning Liu and Cundian Yang",
title = "On a problem of {D. H. Lehmer} and pseudorandom binary
sequences",
journal = "{Bull. Braz. Math. Soc. (N.S.)}",
volume = "39",
number = "3",
pages = "387--399",
year = "2008",
DOI = "https://doi.org/10.1007/s00574-008-0012-6",
ISSN = "1678-7544",
MRclass = "11K45 (11A07)",
MRnumber = "2473854",
MRreviewer = "Shea-Ming Oon",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Brazilian Mathematical Society. New
Series. Boletim da Sociedade Brasileira de
Matem\'{a}tica",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Weili:2008:HDD,
author = "Yao Weili",
title = "On the hyper-dimensional {D. H. Lehmer} problem and
its mean value",
journal = "JP J. Algebra Number Theory Appl.",
volume = "10",
number = "2",
pages = "169--183",
year = "2008",
ISSN = "0972-5555",
MRclass = "11A07",
MRnumber = "2451314",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "JP Journal of Algebra, Number Theory and
Applications",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Xu:2008:PDH,
author = "Zhefeng Xu and Wenpeng Zhang",
title = "A problem of {D. H. Lehmer} and its mean value",
journal = j-MATH-NACHR,
volume = "281",
number = "4",
pages = "596--606",
year = "2008",
CODEN = "MTMNAQ",
DOI = "https://doi.org/10.1002/mana.200510628",
ISSN = "0025-584X",
MRclass = "11N69 (11M20)",
MRnumber = "2404302",
MRreviewer = "Arnaud Chadozeau",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematische Nachrichten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1522-2616",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Cao:2009:NSC,
author = "Hui-Qin Cao and Hao Pan",
title = "Note on some congruences of {Lehmer}",
journal = j-J-NUMBER-THEORY,
volume = "129",
number = "8",
pages = "1813--1819",
month = aug,
year = "2009",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2009.02.014",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:37 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X09000791",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Flatters:2009:PDS,
author = "Anthony Flatters",
title = "Primitive divisors of some {Lehmer--Pierce}
sequences",
journal = j-J-NUMBER-THEORY,
volume = "129",
number = "1",
pages = "209--219",
month = jan,
year = "2009",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2008.05.008",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:33 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X08001224",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Liu:2009:NLT,
author = "Huaning Liu",
title = "A note on {Lehmer} $k$-tuples",
journal = j-INT-J-NUMBER-THEORY,
volume = "5",
number = "7",
pages = "1169--1178",
month = nov,
year = "2009",
DOI = "https://doi.org/10.1142/S1793042109002626",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:21 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042109002626",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Lu:2009:GDH,
author = "Ya Ming Lu and Yuan Yi",
title = "On the generalization of the {D. H. Lehmer} problem",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "25",
number = "8",
pages = "1269--1274",
year = "2009",
DOI = "https://doi.org/10.1007/s10114-009-7652-3",
ISSN = "1439-8516",
MRclass = "11L05 (11L07 11N56)",
MRnumber = "2524947",
MRreviewer = "Roma Ka\v{c}inskait\.{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Ren:2009:APF,
author = "Gang Lian Ren",
title = "Asymptotic property of a $k$-free {D. H. Lehmer}
number",
journal = "Math. Pract. Theory",
volume = "39",
number = "20",
pages = "139--142",
year = "2009",
ISSN = "1000-0984",
MRclass = "11L05",
MRnumber = "2640858",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian
yu Renshi",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Xu:2009:DHL,
author = "Zhefeng Xu",
title = "{D. H. Lehmer} problem over half intervals",
journal = "J. Korean Math. Soc.",
volume = "46",
number = "3",
pages = "493--511",
year = "2009",
DOI = "https://doi.org/10.4134/JKMS.2009.46.3.493",
ISSN = "0304-9914",
MRclass = "11N37",
MRnumber = "2515132",
MRreviewer = "Hong Bing Yu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Korean Mathematical Society",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Yuan:2009:GDH,
author = "Yi Yuan and Hou Yiwei",
title = "On a generalization of {D. H. Lehmer} problem",
journal = "JP J. Algebra Number Theory Appl.",
volume = "14",
number = "1",
pages = "37--50",
year = "2009",
ISSN = "0972-5555",
MRclass = "11L05 (11N37)",
MRnumber = "2548438",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "JP Journal of Algebra, Number Theory and
Applications",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2009:HKS,
author = "Tianping Zhang and Xifeng Xue",
title = "On the $r$-th hyper-{Kloosterman} sums and a problem
of {D. H. Lehmer}",
journal = "J. Korean Math. Soc.",
volume = "46",
number = "4",
pages = "733--746",
year = "2009",
DOI = "https://doi.org/10.4134/JKMS.2009.46.4.733",
ISSN = "0304-9914",
MRclass = "11L05 (11L40)",
MRnumber = "2532882",
MRreviewer = "Antonio Rojas Le\'{o}n",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Korean Mathematical Society",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Bannai:2010:TMD,
author = "Eiichi Bannai and Tsuyoshi Miezaki",
title = "Toy models for {D. H. Lehmer}'s conjecture",
journal = "J. Math. Soc. Japan",
volume = "62",
number = "3",
pages = "687--705",
year = "2010",
ISSN = "0025-5645",
MRclass = "11F27 (05B30 11F30)",
MRnumber = "2648059",
MRreviewer = "Matthias Sch{\"u}tt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.jmsj/1280496816",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Mathematical Society of Japan",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Bullynck:2010:SEC,
author = "Maarten Bullynck and Liesbeth {De Mol}",
title = "Setting-up early computer programs: {D. H. Lehmer}'s
{ENIAC} computation",
journal = "Arch. Math. Logic",
volume = "49",
number = "2",
pages = "123--146",
year = "2010",
DOI = "https://doi.org/10.1007/s00153-009-0169-8",
ISSN = "0933-5846",
MRclass = "01A60 (11-04 11N36 11Y16 68-03)",
MRnumber = "2592049",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Archive for Mathematical Logic",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Deschamps:2010:BVI,
author = "Bruno Deschamps",
title = "Sur les bonnes valeurs initiales de la suite de
{Lucas--Lehmer}. ({French}) [{On} good initial values
for the {Lucas--Lehmer} sequence]",
journal = j-J-NUMBER-THEORY,
volume = "130",
number = "12",
pages = "2658--2670",
month = dec,
year = "2010",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2010.06.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:45 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X10001800",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
language = "French",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Dyson:2010:LIS,
author = "F. J. Dyson and N. E. Frankel and M. L. Glasser",
title = "{Lehmer}'s Interesting Series",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "1--14",
day = "22",
month = sep,
year = "2010",
bibdate = "Sun Aug 25 14:51:45 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://arxiv.org/abs/1009.4274",
abstract = "The series { $$ S_k(z) = \sum_{m = 1}^{\infty } \frac
{m^kz^m}{(\begin {array}{c} 2m m \end {array})} $$} is
evaluated in non-recursive closed and analytically
continued beyond its domain of convergence $ 0 \le |z|
< 4 $ for $ k = 0, 1, 2, \ldots {} $. From this we
provide a firm basis for Lehmer's observation that $
\pi $ emerges from the limiting behavior of {$ S_k(2)
$} as $ k \rightarrow \infty $.",
acknowledgement = ack-nhfb,
author-dates = "Freeman Dyson (15 December 1923--28 February 2020)",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Lu:2010:GDH,
author = "Yaming Lu and Yuan Yi",
title = "On the generalization of the {D. H. Lehmer} problem.
{II}",
journal = j-ACTA-ARITHMETICA,
volume = "142",
number = "2",
pages = "179--186",
year = "2010",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa142-2-7",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11N69",
MRnumber = "2601059",
MRreviewer = "Roma Ka\v{c}inskait\.{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Lu:2010:PID,
author = "Yaming Lu and Yuan Yi",
title = "Partitions involving {D. H. Lehmer} numbers",
journal = j-MONAT-MATH,
volume = "159",
number = "1-2",
pages = "45--58",
year = "2010",
CODEN = "MNMTA2",
DOI = "https://doi.org/10.1007/s00605-008-0049-z",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
ISSN-L = "0026-9255",
MRclass = "11P55 (11L05)",
MRnumber = "2564387",
MRreviewer = "Roma Ka\v{c}inskait\.{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik",
journal-URL = "http://link.springer.com/journal/605",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Murty:2010:ELC,
author = "M. Ram Murty and N. Saradha",
title = "{Euler--Lehmer} constants and a conjecture of
{Erd{\H{o}}s}",
journal = j-J-NUMBER-THEORY,
volume = "130",
number = "12",
pages = "2671--2682",
month = dec,
year = "2010",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2010.07.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:45 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X10001836",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2010:MVR,
author = "Wenpeng Zhang and Zhaoxia Wu",
title = "A mean value related to the {D. H. Lehmer} problem and
{Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "143",
number = "3",
pages = "291--298",
year = "2010",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa143-3-8",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11L05 (11M20)",
MRnumber = "2652582",
MRreviewer = "Y.-F. S. P\'{e}termann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gun:2011:VLC,
author = "Sanoli Gun and V. Kumar Murty",
title = "A variant of {Lehmer}'s conjecture, {II}: the
{CM}-case",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "298--326",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2011-002-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11F11 (11F30)",
MRnumber = "2809058",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let f be a normalized Hecke eigenform with rational
integer Fourier coefficients. It is an interesting
question to know how often an integer n has a factor
common with the n-th Fourier coefficient of f. It has
been shown in previous papers that this happens very
often. In this paper, we give an asymptotic formula for
the number of integers n for which (n, a(n)) = 1, where
a(n) is the n-th Fourier coefficient of a normalized
Hecke eigenform f of weight 2 with rational integer
Fourier coefficients and having complex
multiplication.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Guo:2011:MVD,
author = "Xiao Yan Guo",
title = "Mean value of the {D. H. Lehmer} problem in short
intervals",
journal = "J. Shandong Univ. Nat. Sci.",
volume = "46",
number = "12",
pages = "76--82, 87",
year = "2011",
ISSN = "1671-9352",
MRclass = "11L07 (11N37)",
MRnumber = "2919778",
MRreviewer = "Xiumin Ren",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Shandong University. Natural Science.
Shandong Daxue Xuebao. Lixue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Guo:2011:PBS,
author = "Xiao Yan Guo",
title = "Pseudorandom binary sequences constructed by a
generalized {D. H. Lehmer} problem",
journal = "J. Jilin Univ. Sci.",
volume = "49",
number = "1",
pages = "47--50",
year = "2011",
ISSN = "1671-5489",
MRclass = "11K45 (11L03)",
MRnumber = "2791791",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Jilin University. Science Edition. Jilin
Daxue Xuebao. Lixue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Wang:2011:SDI,
author = "Miao-Kun Wang and Yu-Ming Chu and Gen-Di Wang",
title = "A Sharp Double Inequality Between the {Lehmer} and
Arithmetic--Geometric Means",
journal = j-PAC-J-APPL-MATH,
volume = "3",
number = "4",
pages = "281--286",
month = "????",
year = "2011",
ISSN = "1941-3963",
MRclass = "26E60",
MRnumber = "3024759",
bibdate = "Wed Mar 15 07:14:39 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
URL = "https://www.novapublishers.com/catalog/product_info.php?products_id=24770",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Applied Mathematics",
journal-URL = "http://www.novapublishers.com/catalog/product_info.php?products_id=6697",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Xi:2011:GDH,
author = "Ping Xi and Yuan Yi",
title = "Generalized {D. H. Lehmer} problem over short
intervals",
journal = j-GLASG-MATH-J,
volume = "53",
number = "2",
pages = "293--299",
year = "2011",
DOI = "https://doi.org/10.1017/S0017089510000704",
ISSN = "0017-0895 (print), 1469-509x (electronic)",
ISSN-L = "0017-0895",
MRclass = "11N37 (11L05)",
MRnumber = "2783158",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Glasgow Mathematical Journal",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Chu:2012:OLM,
author = "Y.-M. Chu and M.-K. Wang and Y.-F. Qiu",
title = "Optimal {Lehmer} mean bounds for the geometric and
arithmetic combinations of arithmetic and {Seiffert}
means",
journal = "Azerb. J. Math.",
volume = "2",
number = "1",
pages = "3--9",
year = "2012",
ISSN = "2218-6816",
MRclass = "26E60 (26D99)",
MRnumber = "2967278",
MRreviewer = "P{\'a}l Burai",
bibdate = "Tue Aug 15 09:24:34 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
fjournal = "Azerbaijan Journal of Mathematics",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Taylor:2012:LCM,
author = "Graeme Taylor",
title = "{Lehmer}'s conjecture for matrices over the ring of
integers of some imaginary quadratic fields",
journal = j-J-NUMBER-THEORY,
volume = "132",
number = "4",
pages = "590--607",
month = apr,
year = "2012",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2011.09.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:52 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X11002289",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Wang:2012:SDI,
author = "Miao-Kun Wang and Yu-Ming Chu and Gen-Di Wang",
title = "A Sharp Double Inequality Between the {Lehmer} and
Arithmetic--Geometric Means",
journal = j-PAC-J-APPL-MATH,
volume = "4",
number = "1",
pages = "1--25",
year = "2012",
ISSN = "1941-3963",
MRclass = "26E60 (26D07)",
MRnumber = "3027346",
bibdate = "Wed Mar 15 07:16:27 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Applied Mathematics",
journal-URL = "http://www.novapublishers.com/catalog/product_info.php?products_id=6697",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2012:MVR,
author = "Wenpeng Zhang",
title = "A mean value related to {D. H. Lehmer}'s problem and
the {Ramanujan}'s sum",
journal = j-GLASG-MATH-J,
volume = "54",
number = "1",
pages = "155--162",
year = "2012",
DOI = "https://doi.org/10.1017/S0017089511000498",
ISSN = "0017-0895 (print), 1469-509x (electronic)",
ISSN-L = "0017-0895",
MRclass = "11N69 (11F20 11L40 11M20)",
MRnumber = "2862393",
MRreviewer = "Djordje Mili\'{c}evi\'{c}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Glasgow Mathematical Journal",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@InCollection{Bannai:2013:TMD,
author = "Eiichi Bannai and Tsuyoshi Miezaki",
booktitle = "Quadratic and higher degree forms",
title = "Toy models for {D. H. Lehmer}'s conjecture {II}",
volume = "31",
publisher = pub-SV,
address = pub-SV:adr,
pages = "1--27",
year = "2013",
DOI = "https://doi.org/10.1007/978-1-4614-7488-3_1",
MRclass = "11F03 (05B30 11R04)",
MRnumber = "3156552",
MRreviewer = "Chang Heon Kim",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Dev. Math.",
acknowledgement = ack-nhfb,
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Dyson:2013:LIS,
author = "Freeman J. Dyson and Norman E. Frankel and M. Lawrence
Glasser",
title = "{Lehmer}'s Interesting Series",
journal = j-AMER-MATH-MONTHLY,
volume = "120",
number = "2",
pages = "116--130",
month = feb,
year = "2013",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.120.02.116",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05A15 (11B68)",
MRnumber = "3029937",
bibdate = "Fri Aug 23 13:03:20 2013",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/10.4169/amermathmont.120.issue-02;
https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.120.02.116;
http://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.120.02.116.pdf",
acknowledgement = ack-nhfb,
author-dates = "Freeman Dyson (15 December 1923--28 February 2020)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Fili:2013:ODS,
author = "Paul Fili and Zachary Miner",
title = "Orthogonal decomposition of the space of algebraic
numbers and {Lehmer}'s problem",
journal = j-J-NUMBER-THEORY,
volume = "133",
number = "11",
pages = "3941--3981",
month = nov,
year = "2013",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2013.05.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:03 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1300156X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Granger:2013:CSA,
author = "Robert Granger",
title = "Could, or {\em should}, the ancient {Greeks} have
discovered the {Lucas--Lehmer} test?",
journal = j-MATH-GAZ,
volume = "97",
number = "539",
pages = "242--255",
month = jul,
year = "2013",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/S0025557200005830",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:27 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=97&issueId=539;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
remark = "From the article: ``The Lucas--Lehmer (LL) test is the
most efficient known for testing the primality of
Mersenne numbers, i.e., the integers $ M^i = 2 i 1, f o
r i \geq 1 $.''",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Khoshkenar:2013:NTR,
author = "Amin Khoshkenar and Hashem Mahlooji",
title = "A New Test of Randomness for {Lehmer} Generators Based
on the {Manhattan} Distance Between Pairs of
Consecutive Random Numbers",
journal = j-COMMUN-STAT-SIMUL-COMPUT,
volume = "42",
number = "1",
pages = "202--214",
year = "2013",
CODEN = "CSSCDB",
DOI = "https://doi.org/10.1080/03610918.2011.633728",
ISSN = "0361-0918",
ISSN-L = "0361-0918",
bibdate = "Sat Jan 30 06:33:25 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/communstatsimulcomput2010.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications in Statistics: Simulation and
Computation",
journal-URL = "http://www.tandfonline.com/loi/lssp20",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{McNew:2013:RWL,
author = "Nathan McNew",
title = "Radically Weakening the {Lehmer} and {Carmichael}
Conditions",
journal = j-INT-J-NUMBER-THEORY,
volume = "9",
number = "5",
pages = "1215--1224",
month = aug,
year = "2013",
DOI = "https://doi.org/10.1142/S1793042113500218",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:23:24 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042113500218",
abstract = "Lehmer's totient problem asks if there exist composite
integers n satisfying the condition \phi (n)|(n - 1)
(where \phi is the Euler-phi function), while
Carmichael numbers satisfy the weaker condition \lambda
(n)|(n - 1) (where \lambda is the Carmichael universal
exponent function). We weaken the condition further,
looking at those composite n where each prime divisor
of \phi (n) also divides n - 1. (So rad(\phi (n))|(n -
1).) While these numbers appear to be far more numerous
than the Carmichael numbers, we show that their
distribution has the same rough upper bound as that of
the Carmichael numbers, a bound which is heuristically
tight.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Miezaki:2013:CDD,
author = "Tsuyoshi Miezaki",
title = "Conformal designs and {D. H. Lehmer}'s conjecture",
journal = j-J-ALGEBRA,
volume = "374",
pages = "59--65",
year = "2013",
CODEN = "JALGA4",
DOI = "https://doi.org/10.1016/j.jalgebra.2012.10.019",
ISSN = "0021-8693 (print), 1090-266x (electronic)",
ISSN-L = "0021-8693",
MRclass = "17B69 (11F03)",
MRnumber = "2998794",
MRreviewer = "Nina Yu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Algebra",
journal-URL = "http://www.sciencedirect.com/science/journal/00218693",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Schinzel:2013:PLN,
author = "A. Schinzel",
title = "A Property of {Lehmer} Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "119--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/schinzel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Somer:2013:PLL,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "Prime {Lehmer} and {Lucas} Numbers With Composite
Indices",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "194--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Xu:2013:SCE,
author = "Zhe Feng Xu",
title = "Some cancellations of the error term of the {D. H.
Lehmer} problem",
journal = "J. Shaanxi Normal Univ. Nat. Sci. Ed.",
volume = "41",
number = "6",
pages = "12--14, 20",
year = "2013",
ISSN = "1672-4291",
MRclass = "11N69",
MRnumber = "3184716",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Shaanxi Normal University. Journal. Natural Science
Edition. Shaanxi Shifan Daxue Xuebao. Ziran Kexue Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gun:2014:TGE,
author = "Sanoli Gun and Ekata Saha and Sneh Bala Sinha",
title = "Transcendence of generalized {Euler--Lehmer}
constants",
journal = j-J-NUMBER-THEORY,
volume = "145",
number = "??",
pages = "329--339",
month = dec,
year = "2014",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2014.06.010",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:09 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X14002157",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Xu:2014:HDD,
author = "Zhe Feng Xu and Tian Ping Zhang",
title = "High-dimensional {D. H. Lehmer} problem over short
intervals",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "30",
number = "2",
pages = "213--228",
year = "2014",
DOI = "https://doi.org/10.1007/s10114-014-3324-z",
ISSN = "1439-8516",
MRclass = "11N25",
MRnumber = "3150234",
MRreviewer = "Andreas J. Weingartner",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2014:HDD,
author = "Tianping Zhang",
title = "High-dimensional {D. H. Lehmer} problem over quarter
intervals",
journal = j-ABSTR-APPL-ANAL,
pages = "Art. ID 943794, 10",
year = "2014",
DOI = "https://doi.org/10.1155/2014/943794",
ISSN = "1085-3375 (print), 1687-0409 (electronic)",
ISSN-L = "1085-3375",
MRclass = "11N25 (11L40)",
MRnumber = "3200812",
MRreviewer = "Adam J. Harper",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Abstract and Applied Analysis",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Hajdu:2015:CFS,
author = "L. Hajdu and M. Szikszai",
title = "Common Factors in Series of Consecutive Terms of
Associated {Lucas} and {Lehmer} Sequences",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "221--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/hajdu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Han:2015:NMV,
author = "Di Han and Wenpeng Zhang",
title = "A new mean value related to {D. H. Lehmer}'s problem
and {Kloosterman} sums",
journal = "Bull. Korean Math. Soc.",
volume = "52",
number = "1",
pages = "35--43",
year = "2015",
DOI = "https://doi.org/10.4134/BKMS.2015.52.1.035",
ISSN = "1015-8634",
MRclass = "11L40 (11F20)",
MRnumber = "3313422",
MRreviewer = "Sandro Bettin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Korean Mathematical Society",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Somer:2015:LS,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "On {Lehmer} Superpseudoprimes",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "206--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Tian:2015:PAL,
author = "Qing Tian and Shujuan Cao and Chunxiao Yang",
title = "On a problem analogues to {Lehmer}'s and {Hurwitz}
zeta-function",
journal = j-APPL-MATH-COMP,
volume = "268",
number = "??",
pages = "636--643",
day = "1",
month = oct,
year = "2015",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Sep 16 06:56:32 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S009630031500898X",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhang:2015:SNS,
author = "Han Zhang and Wenpeng Zhang",
title = "Some new sums related to {D. H. Lehmer} problem",
journal = j-CZECH-MATH-J,
volume = "65(140)",
number = "4",
pages = "915--922",
year = "2015",
CODEN = "CZMJAE",
DOI = "https://doi.org/10.1007/s10587-015-0217-y",
ISSN = "0011-4642",
MRclass = "11L05 (11L40)",
MRnumber = "3441325",
MRreviewer = "Ping Xi",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Czechoslovak Mathematical Journal",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{McNew:2016:ILN,
author = "Nathan McNew and Thomas Wright",
title = "Infinitude of $k$-{Lehmer} numbers which are not
{Carmichael}",
journal = j-INT-J-NUMBER-THEORY,
volume = "12",
number = "7",
pages = "1863--1869",
month = nov,
year = "2016",
DOI = "https://doi.org/10.1142/S1793042116501153",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:26 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042116501153",
abstract = "In this paper, we prove that there are infinitely many
n 's for which rad $ \phi $ n $ $ | n - 1 but n is not
a Carmichael number. Additionally, we prove that for
any k \geq 3, there exist infinitely many n 's such
that \phi $n$ | $ n - 1 $ ^{k} but \phi $n$ \nmid $ n -
1 $ ^{k - 1}. The constructions that we consider here
are generalizations of Carmichael and Lehmer numbers,
respectively, that were first formulated by Grau and
Oller-Marc{\'e}n.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Wang:2016:MVF,
author = "Tingting Wang",
title = "A mean value function and its computational formula
related to {D. H. Lehmer}'s problem",
journal = "Bull. Korean Math. Soc.",
volume = "53",
number = "2",
pages = "487--494",
year = "2016",
DOI = "https://doi.org/10.4134/BKMS.2016.53.2.487",
ISSN = "1015-8634",
MRclass = "11L40 (11F20)",
MRnumber = "3483452",
MRreviewer = "Huaning Liu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Korean Mathematical Society",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Stopple:2017:LPR,
author = "Jeffrey Stopple",
title = "{Lehmer} Pairs Revisited",
journal = j-EXP-MATH,
volume = "26",
number = "1",
pages = "45--53",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2015.1107870",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Mon Feb 20 08:34:24 MST 2017",
bibsource = "http://www.tandfonline.com/toc/uexm20/26/1;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/expmath.bib",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
keywords = "Lehmer pair; Riemann hypothesis; roots of zeta
function",
onlinedate = "07 Jul 2016",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{vanIttersum:2017:GIV,
author = "Jan-Willem M. van Ittersum",
title = "A group-invariant version of {Lehmer}'s conjecture on
heights",
journal = j-J-NUMBER-THEORY,
volume = "171",
number = "??",
pages = "145--154",
month = feb,
year = "2017",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2016.07.015",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:25 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X16301986",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Verhoeff:2017:SDH,
author = "Tom Verhoeff",
title = "The spurs of {D. H. Lehmer}: {Hamiltonian} paths in
neighbor-swap graphs of permutations",
journal = j-DESIGNS-CODES-CRYPTOGR,
volume = "84",
number = "1--2",
pages = "295--310",
month = jul,
year = "2017",
CODEN = "DCCREC",
DOI = "https://doi.org/10.1007/s10623-016-0301-9",
ISSN = "0925-1022 (print), 1573-7586 (electronic)",
ISSN-L = "0925-1022",
MRclass = "05C38 (05C45)",
MRnumber = "3654211",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://link.springer.com/journal/10623/84/1;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/designscodescryptogr.bib",
URL = "https://link.springer.com/content/pdf/10.1007/s10623-016-0301-9.pdf",
acknowledgement = ack-nhfb,
fjournal = "Designs, Codes and Cryptography. An International
Journal",
journal-URL = "http://link.springer.com/journal/10623",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Demangos:2018:LPD,
author = "Luca Demangos",
title = "{Lehmer} problem and {Drinfeld} modules",
journal = j-J-NUMBER-THEORY,
volume = "189",
number = "??",
pages = "147--185",
month = aug,
year = "2018",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2017.12.002",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:36 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X18300088",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Simonic:2018:LPD,
author = "Aleksander Simoni{\v{c}}",
title = "{Lehmer} pairs and derivatives of {Hardy}'s
{$Z$}-function",
journal = j-J-NUMBER-THEORY,
volume = "184",
number = "??",
pages = "451--460",
month = mar,
year = "2018",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2017.08.030",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:33 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1730330X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Zhao:2018:DHL,
author = "Jian Hong Zhao and Xiao Xue Li",
title = "The {D. H. Lehmer} number and related problems",
journal = "J. Inn. Mong. Norm. Univ. Nat. Sci.",
volume = "47",
number = "1",
pages = "12--15",
year = "2018",
ISSN = "1001-8735",
MRclass = "11L03",
MRnumber = "3753382",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Inner Mongolia Normal University. Nei
Mongol Shifan Daxue Xuebao. Ziran Kexue. Hanwen Ban",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Burek:2019:NUB,
author = "Dominik Burek and B{\l}a{\.z}ej {\.Z}mija",
title = "A new upper bound for numbers with the {Lehmer}
property and its application to repunit numbers",
journal = j-INT-J-NUMBER-THEORY,
volume = "15",
number = "7",
pages = "1463--1468",
month = aug,
year = "2019",
DOI = "https://doi.org/10.1142/S1793042119500830",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:40 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042119500830",
abstract = "g^{n} - 1 g - 1 | n, g \in \mathbb{N}, \nu_2 $g$ +
\nu_2 $ g + 1 $ \leq L,",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Cohen:2019:LNP,
author = "Stephen D. Cohen and Tim Trudgian",
title = "{Lehmer} numbers and primitive roots modulo a prime",
journal = j-J-NUMBER-THEORY,
volume = "203",
number = "??",
pages = "68--79",
month = oct,
year = "2019",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2019.03.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:44 MDT 2020",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1930109X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{DeSilva:2019:LLC,
author = "Dilum {De Silva} and Michael J. Mossinghoff and
Vincent Pigno and Christopher Pinner",
title = "The {Lind--Lehmer} constant for certain $p$-groups",
journal = j-MATH-COMPUT,
volume = "88",
number = "316",
pages = "949--972",
month = oct,
year = "2019",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/mcom/3350",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Jul 14 06:45:36 MDT 2020",
bibsource = "http://www.ams.org/mcom/2019-88-316;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "https://www.ams.org/journals/mcom/2019-88-316/S0025-5718-2018-03350-6;
https://www.ams.org/journals/mcom/2019-88-316/S0025-5718-2018-03350-6/S0025-5718-2018-03350-6.pdf;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=1052058;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=1057528;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=319822;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=630072",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Ekhad:2019:DHL,
author = "Shalosh B. Ekhad and Doron Zeilberger",
title = "{D. H. Lehmer}'s tridiagonal determinant: an {\'e}tude
in ({Andrews}-inspired) experimental mathematics",
journal = "Ann. Comb.",
volume = "23",
number = "3-4",
pages = "717--724",
year = "2019",
DOI = "https://doi.org/10.1007/s00026-019-00441-y",
ISSN = "0218-0006",
MRclass = "05A17",
MRnumber = "4039559",
MRreviewer = "David K. Penniston",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Combinatorics",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Shiu:2019:CCS,
author = "Peter Shiu",
title = "Corrigendum to {``Counting sums of two squares: the
Meissel--Lehmer method''}",
journal = j-MATH-COMPUT,
volume = "88",
number = "320",
pages = "2935--2938",
month = oct,
year = "2019",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/mcom/3477",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Jul 14 06:45:45 MDT 2020",
bibsource = "http://www.ams.org/mcom/2019-88-320;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "https://www.ams.org/AMSMathViewer;
https://www.ams.org/journals/mcom/2019-88-320/S0025-5718-2019-03477-4;
https://www.ams.org/journals/mcom/2019-88-320/S0025-5718-2019-03477-4/S0025-5718-2019-03477-4.pdf;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=160965",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Penalva:2020:LMO,
author = "Helena Penalva and M. Ivette Gomes and Frederico
Caeiro and M. Manuela Neves",
title = "{Lehmer}'s mean-of-order-$p$ extreme value index
estimation: a simulation study and applications",
journal = j-J-APPL-STAT,
volume = "47",
number = "13--15",
pages = "2825--2845",
year = "2020",
CODEN = "????",
DOI = "https://doi.org/10.1080/02664763.2019.1694871",
ISSN = "0266-4763 (print), 1360-0532 (electronic)",
ISSN-L = "0266-4763",
bibdate = "Tue May 18 11:16:47 MDT 2021",
bibsource = "http://www.tandf.co.uk/journals/routledge/02664763.html;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/japplstat.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Statistics",
journal-URL = "http://www.tandfonline.com/loi/cjas20",
onlinedate = "07 Jan 2020",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Xi:2020:KSP,
author = "Ping Xi and Yuan Yi",
title = "{Kloosterman} sums and a problem of {D. H. Lehmer}",
journal = "Chin. Ann. Math. Ser. B",
volume = "41",
number = "3",
pages = "361--370",
year = "2020",
DOI = "https://doi.org/10.1007/s11401-020-0203-z",
ISSN = "0252-9599",
MRclass = "11N69 (11L05)",
MRnumber = "4098044",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Chinese Annals of Mathematics. Series B",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@InCollection{Ekhad:2021:DHL,
author = "Shalosh B. Ekhad and Doron Zeilberger",
booktitle = "{George E. Andrews} --- 80 years of combinatory
analysis",
title = "{D. H. Lehmer}'s tridiagonal determinant: an {\'e}tude
in ({Andrews}-inspired) experimental mathematics",
publisher = "Birkh{\"a}user\slash Springer",
address = "Cham, Switzerland",
pages = "363--370",
year = "2021",
DOI = "https://doi.org/10.1007/s00026-019-00441-y",
MRclass = "05A17 (11B83 15A15)",
MRnumber = "4221113",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Reprint of [ 4039559]",
series = "Trends Math.",
acknowledgement = ack-nhfb,
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Balakrishnan:2022:VLC,
author = "Jennifer S. Balakrishnan and William Craig and Ken
Ono",
title = "Variations of {Lehmer's Conjecture} for {Ramanujan}'s
tau-function",
journal = j-J-NUMBER-THEORY,
volume = "237",
number = "??",
pages = "3--14",
month = aug,
year = "2022",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2020.04.009",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Mon May 9 10:11:03 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/jnumbertheory2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X20301189",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Young:2022:MLL,
author = "Paul Thomas Young",
title = "From {Madhava--Leibniz} to {Lehmer}'s Limit",
journal = j-AMER-MATH-MONTHLY,
volume = "129",
number = "6",
pages = "524--538",
year = "2022",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2022.2051405",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Jun 8 08:16:36 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
abstract = "In a 1985 article in this \booktitle{Monthly}, D. H.
Lehmer considered a fascinating family of infinite
series involving the central binomial coefficient,
which exhibited limiting behavior involving the
ubiquitous constant $ \pi $ in two different ways; yet
it was not until 2012 that Dyson et al. gave a proof of
the latter, naming it Lehmer's limit in his honor. Here
we give an elementary demonstration that both phenomena
derive from simple transformations of the celebrated
Madhava--Leibniz series for $ \pi / 4 $.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "03 May 2022",
subject-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Dyson:1943:TIC,
author = "F. J. Dyson",
title = "Three identities in combinatory analysis",
journal = j-J-LOND-MATH-SOC,
volume = "18",
pages = "35--39",
year = "1943",
CODEN = "JLMSAK",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "09.0X",
MRnumber = "0009008 (5,87b)",
MRreviewer = "D. H. Lehmer",
bibdate = "Fri Aug 23 13:03:20 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Freeman Dyson (15 December 1923--28 February 2020)",
fjournal = "Journal of the London Mathematical Society. Second
Series",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
remark = "This is Dyson's first published paper, written while
he was still a Cambridge University undergraduate.",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Escott:1946:AN,
author = "Edward Brind Escott",
title = "Amicable numbers",
journal = j-SCRIPTA-MATH,
volume = "12",
number = "??",
pages = "61--72",
month = "????",
year = "1946",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "17293",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0060.08708",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3095989",
}
@Article{Uhler:1946:NRC,
author = "Horace S. Uhler",
title = "A new result concerning a {Mersenne} number",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "2",
number = "14",
pages = "94--94",
month = apr,
year = "1946",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
MRclass = "10.0X",
MRnumber = "7,413c",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Jan 28 14:10:36 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gloden:1948:BF,
author = "A. Gloden",
title = "Binomial factorisations",
journal = j-SCRIPTA-MATH,
volume = "14",
number = "??",
pages = "283",
month = "????",
year = "1948",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "29920",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Kraitchik:1948:DF,
author = "Maurice Kraitchik",
title = "On the divisibility of factorials",
journal = j-SCRIPTA-MATH,
volume = "14",
number = "??",
pages = "24--26",
month = "????",
year = "1948",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "25479",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0037.16607",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3056389",
}
@Article{Todd:1949:PAT,
author = "John Todd",
title = "A problem on arc tangent relations",
journal = j-AMER-MATH-MONTHLY,
volume = "56",
pages = "517--528",
year = "1949",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2305526",
ISSN = "0002-9890,1930-0972",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "31496",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Oct 21 14:25:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib",
URL = "https://www.jstor.org/stable/2305526",
acknowledgement = ack-nhfb,
author-dates = "John Todd (16 May 1911--21 June 2007)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3055096",
}
@Article{Uhler:1949:ANF,
author = "Horace Scudder Uhler",
title = "The {Arabian Nights}' factorial and the weighted-mean
factorial",
journal = j-SCRIPTA-MATH,
volume = "15",
number = "??",
pages = "94--96",
month = "????",
year = "1949",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "30543",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0034.29504",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3052799",
}
@Article{Uhler:1949:TEV,
author = "Horace Scudder Uhler",
title = "Table of exact values of high powers of $2$",
journal = j-SCRIPTA-MATH,
volume = "15",
number = "??",
pages = "247--251",
month = "????",
year = "1949",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "65.0X",
MRnumber = "34093",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{David:1951:TSF,
author = "F. N. David and M. G. Kendall",
title = "Tables of Symmetric Functions. {Parts} {II} and
{III}",
journal = j-BIOMETRIKA,
volume = "38",
number = "3/4",
pages = "435--462",
month = dec,
year = "1951",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2332590",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "65.0X",
MRnumber = "0046741 (13,781d)",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jun 21 14:32:38 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315418;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/biometrika1950.bib",
URL = "http://www.jstor.org/stable/2332590",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Porcelli:1951:PFS,
author = "Pasquale Porcelli and Gordon Pall",
title = "A property of {Farey} sequences, with applications to
{$q$ th} power residues",
journal = j-CAN-J-MATH,
volume = "3",
number = "??",
pages = "52--53",
month = "????",
year = "1951",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1951-007-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "10.0X",
MRnumber = "0041158 (12,804f)",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Sep 10 15:38:25 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v3/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Coxeter:1952:RBU,
author = "H. S. M. Coxeter",
title = "{Rouse Ball}'s unpublished notes on three fours",
journal = j-SCRIPTA-MATH,
volume = "18",
number = "??",
pages = "85--86",
month = "????",
year = "1952",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "49209",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Kraitchik:1952:F,
author = "Maurice Kraitchik",
title = "On the factorization of $ 2^n \pm 1 $",
journal = j-SCRIPTA-MATH,
volume = "18",
number = "??",
pages = "39--52",
month = "????",
year = "1952",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "01.0X",
MRnumber = "49113",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0047.03907",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3073141",
}
@Article{David:1953:TSF,
author = "F. N. David and M. G. Kendall",
title = "Tables of Symmetric Functions. {Part IV}",
journal = j-BIOMETRIKA,
volume = "40",
number = "3/4",
pages = "427--446",
month = dec,
year = "1953",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2333359",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "65.0X",
MRnumber = "0059058 (15,471a)",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jun 21 14:32:42 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315421;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/biometrika1950.bib",
URL = "http://www.jstor.org/stable/2333359",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gupta:1953:GMF,
author = "Hansraj Gupta",
title = "A generalization of the {M{\"o}bius} function",
journal = j-SCRIPTA-MATH,
volume = "19",
number = "??",
pages = "121--126",
month = "????",
year = "1953",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "57281",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0051.03302",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3080654",
}
@Article{Touchard:1953:PNP,
author = "Jacques Touchard",
title = "On prime numbers and perfect numbers",
journal = j-SCRIPTA-MATH,
volume = "19",
number = "??",
pages = "35--39",
month = "????",
year = "1953",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "55362",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0050.26802",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3079658",
}
@Article{Turing:1953:SCR,
author = "A. M. Turing",
title = "Some calculations of the {Riemann} zeta-function",
journal = j-PROC-LONDON-MATH-SOC-3,
volume = "3",
number = "3",
pages = "99--117",
year = "1953",
CODEN = "PLMTAL",
ISSN = "0024-6115 (print), 1460-244X (electronic)",
ISSN-L = "0024-6115",
MRclass = "65.0X",
MRnumber = "MR0055785 (14,1126e)",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Nov 19 13:23:32 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See corrections and improvements
\cite{Lehman:1970:DZR}, and \cite{Trudgian:2011:ITM}.
The latter comments: ``Turing's Method has become the
standard technique used in modern verification of the
Riemann hypothesis.'' See also
\cite{Lehmer:1956:RRZ}.",
URL = "http://turing.ecs.soton.ac.uk/browse.php/B/21",
ZMnumber = "0050.08101",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the London Mathematical Society. Third
Series",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{vonNeumann:1953:NSC,
author = "John von Neumann and H. H. Goldstine",
title = "A numerical study of a conjecture of {Kummer}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
pages = "133--134",
year = "1953",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "65.0X",
MRnumber = "MR0055784 (14,1126d)",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Jun 7 07:44:44 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
MathSciNet database",
note = "Reprinted in \cite[Paper 24]{Taub:1963:JNCa}.",
ZMnumber = "0051.28101",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Brown:1954:MN,
author = "Alan L. Brown",
title = "Multiperfect numbers",
journal = j-SCRIPTA-MATH,
volume = "20",
number = "??",
pages = "103--106",
month = "????",
year = "1954",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "10.0X",
MRnumber = "62752",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0056.03802",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3089216",
}
@Article{David:1955:TSF,
author = "F. N. David and M. G. Kendall",
title = "Tables of Symmetric Functions. {Part V}",
journal = j-BIOMETRIKA,
volume = "42",
number = "1/2",
pages = "223--242",
month = jun,
year = "1955",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2333439",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "65.0X",
MRnumber = "0070246 (16,1153d)",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jun 21 14:32:47 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315424;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/biometrika1950.bib",
note = "See errata \cite{David:1958:TSF}.",
URL = "http://www.jstor.org/stable/2333439",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Nicholson:1955:SCN,
author = "S. C. Nicholson and J. Jeenel",
title = "Some Comments on a {NORC} Computation of $ \pi $",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "9",
number = "52",
pages = "162--164",
month = oct,
year = "1955",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
MRclass = "65.0X",
MRnumber = "0075672 (17,789b)",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR
database; MathSciNet database",
URL = "http://www.jstor.org/stable/2002052",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "The paper reports 3089 digits of $ \pi $ obtained in
13 minutes of computation. It also observes: ``if the
time to compute $ \pi $ to $m$ digits is $t$ units,
then the time to produce $ k m$ digits is roughly $ k^2
t$ units; this holds true as long as the calculation is
contained in high-speed storage.''",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Uhler:1955:NEF,
author = "Horace S. Uhler",
title = "Nine exact factorials between $ 449 ! $ and $ 751 !
$",
journal = j-SCRIPTA-MATH,
volume = "21",
number = "??",
pages = "138--145",
month = "????",
year = "1955",
ISSN = "0036-9713",
ISSN-L = "0036-9713",
MRclass = "33.0X",
MRnumber = "74583",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Oct 26 11:15:25 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/scripta-math.bib",
ZMnumber = "0067.02101",
acknowledgement = ack-nhfb,
ajournal = "Scripta Math.",
fjournal = "Scripta Mathematica: A Quarterly Journal Devoted to
the Philosophy, History, and Expository Treatment of
Mathematics",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3113564",
}
@Article{Gardiner:1956:CSI,
author = "Verna Gardiner and R. Lazarus and N. Metropolis and S.
Ulam",
title = "On certain sequences of integers defined by sieves",
journal = j-MATH-MAG,
volume = "29",
pages = "117--122",
year = "1956",
CODEN = "MAMGA8",
ISSN = "0011-801x",
MRclass = "10.0X",
MRnumber = "MR0075217 (17,711b)",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Mar 31 07:49:19 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib",
URL = "http://links.jstor.org/sici?sici=0025-570X%28195601%2F02%2929%3A3%3C117%3AOCSOID%3E2.0.CO%3B2-H",
ZMnumber = "0071.27002",
acknowledgement = ack-nhfb,
fjournal = "Delta. University of Wisconsin",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Taussky:1956:CBT,
author = "Olga Taussky and John Todd",
title = "Commuting bilinear transformations and matrices",
journal = j-J-WASH-ACAD-SCI,
volume = "46",
number = "12",
pages = "373--375",
month = dec,
year = "1956",
CODEN = "JWASA3",
ISSN = "0043-0439",
ISSN-L = "0043-0439",
MRclass = "10.2X",
MRnumber = "0086094",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Oct 21 14:25:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib",
URL = "https://www.jstor.org/stable/24533908",
ZMnumber = "0073.00804",
acknowledgement = ack-nhfb,
author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995);
John Todd (16 May 1911--21 June 2007)",
fjournal = "Journal of the Washington Academy of Sciences",
journal-URL = "http://www.jstor.org/journal/jwashacadscie",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
ZBmath = "3121637",
}
@InProceedings{Taussky:1956:GTP,
author = "Olga Taussky and John Todd",
booktitle = "Symposium on {Monte Carlo methods, University of
Florida, 1954}",
title = "Generation and testing of pseudo-random numbers",
crossref = "Meyer:1956:SMC",
chapter = "2",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "15--28",
year = "1956",
MRclass = "68.0X",
MRnumber = "MR 80382",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Oct 21 14:25:01 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995);
John Todd (16 May 1911--21 June 2007)",
HDnumber = "118",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Shanks:1962:CD,
author = "Daniel Shanks and John W. {Wrench, Jr.}",
title = "Calculation of $ \pi $ to 100,000 Decimals",
journal = j-MATH-COMPUT,
volume = "16",
number = "77",
pages = "76--99",
month = jan,
year = "1962",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.99",
MRnumber = "0136051 (24 \#B2090)",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR
database; MathSciNet database",
note = "A note added in proof says: ``J. M. Gerard of IBM
United Kingdom Limited, who was then unaware of the
computation described above, computed $ \pi $ to 20,000
D on the 7090 in the London Data Centre on July 31,
1961. His program used Machin's formula, (1) [$ \pi =
16 \arctan (1 / 5) - 4 \arctan (1 / 239)$], and
required 39 minutes running time. His result agrees
with ours to that number of decimals.''",
URL = "http://www.jstor.org/stable/2003813",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "The computation required 8 hours 43 minutes on an IBM
7090 using St{\"o}rmer's (1896) formula, $ \pi = 24
\arctan (1 / 8) + 8 \arctan (1 / 57) + 4 \arctan (1 /
239) $.",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Jagerman:1963:AFS,
author = "David L. Jagerman",
title = "The autocorrelation function of a sequence uniformly
distributed modulo $1$",
journal = j-ANN-MATH-STAT,
volume = "34",
number = "4",
pages = "1243--1252",
month = dec,
year = "1963",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177703859",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "65.15 (10.33)",
MRnumber = "0160309 (28 \#3523)",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat May 31 09:11:02 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/annmathstat.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177703859;
http://www.jstor.org/stable/2238334",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Marsaglia:1964:CMG,
author = "G. Marsaglia and T. A. Bray",
title = "A Convenient Method for Generating Normal Variables",
journal = j-SIAM-REVIEW,
volume = "6",
number = "3",
pages = "260--264",
month = jul,
year = "1964",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1006063",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65.15",
MRnumber = "30 \#2660",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Mar 27 09:05:15 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/6/3;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
MathSciNet database",
URL = "http://www.jstor.org/stable/2027592",
ZMnumber = "0125.08001",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
keywords = "numerical analysis",
onlinedate = "July 1964",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Trotter:1964:MPC,
author = "H. F. Trotter",
title = "A machine program for coset enumeration",
journal = j-CAN-MATH-BULL,
volume = "7",
number = "??",
pages = "357--368",
month = "????",
year = "1964",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1964-033-x",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
MRclass = "20.99",
MRnumber = "0168151 (29 \#5415)",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Sep 8 10:03:08 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v7/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Book{Golenko:1965:MSA,
author = "D. I. Golenko",
title = "Modelirovanie i statisticheskii analiz
psevdosluchainykh chisel na elektronnykh
vychislitelnykh mashinakh. ({Russian}) [{The} method of
statistical testing (The {Monte Carlo} method)]",
publisher = "Izdatelstvo ``Nauka''",
address = "Moscow, USSR",
pages = "227",
year = "1965",
LCCN = "????",
MRclass = "65.15 (10.03)",
MRnumber = "0187370 (32 \#4822)",
MRreviewer = "D. H. Lehmer",
bibdate = "Wed Jan 18 18:08:00 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
language = "Russian",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gregory:1978:UFS,
author = "Robert Todd Gregory",
title = "The use of finite segment $p$-adic arithmetic for
exact computation",
journal = j-BIT,
volume = "18",
number = "3",
pages = "282--300",
month = sep,
year = "1978",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01930898",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "10M10 (68A05)",
MRnumber = "81e:10042",
MRreviewer = "D. H. Lehmer",
bibdate = "Wed Jan 4 18:52:15 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=18&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=18&issue=3&spage=282",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Gries:1978:LSA,
author = "David Gries and Jayadev Misra",
title = "A Linear Sieve Algorithm for Finding Prime Numbers",
journal = j-CACM,
volume = "21",
number = "12",
pages = "999--1003",
month = dec,
year = "1978",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "10A25 (68C25)",
MRnumber = "80d:10010",
MRreviewer = "D. H. Lehmer",
bibdate = "Mon Jan 22 06:46:37 MST 2001",
bibsource = "Compendex database;
http://dblp.uni-trier.de/db/journals/cacm/cacm21.html#GriesM78;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
abstract = "A new algorithm is presented for finding all primes
between 2 and n. The algorithm executes in time
proportional to n (assuming that multiplication of
integers not larger than n can be performed in unit
time). The method has the same arithmetic complexity as
the algorithm presented by N. G. Mairson; however, this
version is perhaps simpler and more elegant. It is also
easily extended to find the prime factorization of all
integers between 2 and n in time proportional to n.",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital
arithmetic methods)",
classification = "723",
corpsource = "Cornell Univ., Ithaca, NY, USA",
journal-URL = "https://dl.acm.org/loi/cacm",
journalabr = "Commun ACM",
keywords = "computer programming; linear sieve algorithm; number
theory; prime factorization; prime numbers",
oldlabel = "GriesM78",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/GriesM78",
}
@Article{Lenstra:1979:MPT,
author = "H. W. {Lenstra, Jr.}",
title = "{Miller}'s primality test",
journal = j-INFO-PROC-LETT,
volume = "8",
number = "2",
pages = "86--88",
day = "15",
month = feb,
year = "1979",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "10A25",
MRnumber = "80c:10008",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Nov 17 10:49:43 MST 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1970.bib",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C5230 (Digital
arithmetic methods)",
corpsource = "Math. Inst., Amsterdam, Netherlands",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190/",
keywords = "generalized Riemann hypothesis; integer; number
theory; primality test; prime",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Williams:1979:CRU,
author = "H. C. Williams and P. A. Buhr",
title = "Calculation of the Regulator of $ {Q}(\sqrt {D}) $ by
use of the Nearest Integer Continued Fraction
Algorithm",
journal = j-MATH-COMPUT,
volume = "33",
number = "145",
pages = "369--381",
month = jan,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A25 (12A45)",
MRnumber = "80e:12003",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "function approximation; nearest integer continued
fraction algorithm; regulator",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Lagarias:1980:CND,
author = "J. C. Lagarias and A. M. Odlyzko",
title = "Classroom Notes: Divisibility Properties of Some
Cyclotomic Sequences",
journal = j-AMER-MATH-MONTHLY,
volume = "87",
number = "7",
pages = "561--564",
month = aug # "\slash " # sep,
year = "1980",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10A40",
MRnumber = "82c:10014",
MRreviewer = "D. H. Lehmer",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Pajunen:1980:TTL,
author = "Seppo Pajunen",
title = "On two theorems of {Lenstra}",
journal = j-INFO-PROC-LETT,
volume = "11",
number = "4--5",
pages = "224--228",
day = "12",
month = dec,
year = "1980",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "10A25 (10-04)",
MRnumber = "82d:10015",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Apr 11 12:24:20 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1970.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190/",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Williams:1980:ISC,
author = "H. C. Williams",
title = "Improving the speed of calculating the regulator of
certain pure cubic fields",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1423--1434",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A30",
MRnumber = "82a:12003",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "discriminant; divisor; fraction algorithm; function;
number theory; prime; pure cubic field; regulator;
square free; Voronoi algorithm",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Adleman:1981:PTA,
author = "Leonard Adleman and Frank Thomson Leighton",
title = "An $ {O}(n^{1 / 10.89}) $ Primality Testing
Algorithm",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "261--266",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25 (10-04 68C25)",
MRnumber = "82c:10009",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming
and algorithm theory)",
corpsource = "Dept. of Math., MIT, Cambridge, MA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "complexity theory; computational complexity;
deterministic algorithm; number theory; primality;
primality testing algorithm",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Karkoschka:1981:EAR,
author = "E. Karkoschka and P. Werner",
title = "{Einige Ausnahmen zur Rosserschen Regel in der Theorie
der Riemannschen Zetafunktion}. ({German}) [{Some}
failures of {Rosser}'s rule in the theory of the
{Riemann} zeta function]",
journal = j-COMPUTING,
volume = "27",
number = "1",
pages = "57--69",
month = mar,
year = "1981",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "10H05 (10-04)",
MRnumber = "82i:10048",
MRreviewer = "D. H. Lehmer",
bibdate = "Mon Oct 11 20:38:38 MDT 1999",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Computing",
journal-URL = "http://link.springer.com/journal/607",
language = "German",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Brent:1982:SPP,
author = "Richard P. Brent",
title = "Succinct proofs of primality for the factors of some
{Fermat} numbers",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "253--255",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10-04 (10A25 65C99)",
MRnumber = "82k:10002",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Computer Sci., Australian Nat. Univ.,
Canberra, ACT, Australia",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "factors; Fermat numbers; number theory; primality;
prime factors; proofs of",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmann:1982:PT,
author = "Daniel J. Lehmann",
title = "On Primality Tests",
journal = j-SIAM-J-COMPUT,
volume = "11",
number = "2",
pages = "374--375",
month = "????",
year = "1982",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
MRclass = "10A30 (10-04 10K10)",
MRnumber = "83i:10006",
MRreviewer = "D. H. Lehmer",
bibdate = "Mon Nov 29 10:59:41 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/11/2;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Loos:1983:CRZ,
author = "R{\"u}diger Loos",
title = "Computing rational zeros of integral polynomials by
$p$-adic expansion",
journal = j-SIAM-J-COMPUT,
volume = "12",
number = "2",
pages = "286--293",
month = "????",
year = "1983",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
MRclass = "11Y16 (11C08)",
MRnumber = "85b:11123",
MRreviewer = "D. H. Lehmer",
bibdate = "Mon Nov 29 10:59:55 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICOMP/12/2;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/siamjcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Newman:1984:SAS,
author = "Morris Newman and Daniel Shanks",
title = "On a sequence arising in series for $ \pi $",
journal = j-MATH-COMPUT,
volume = "42",
number = "165",
pages = "199--217",
month = jan,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y35 (11F11)",
MRnumber = "85k:11069",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
https://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Maths., Univ. of California, Santa Barbara,
CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "adic numbers; cubic recurrences; p-; positive
integers; rational sequence; sequences; series; series
(mathematics)",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "T Theoretical or Mathematical",
}
@Article{Borwein:1987:ERT,
author = "J. M. Borwein and P. B. Borwein",
title = "Explicit {Ramanujan}-type approximations to pi of high
order",
journal = "Proceedings of the Indian Academy of Sciences ---
Mathematical Sciences",
volume = "97",
number = "1--3",
pages = "53--59",
year = "1987",
DOI = "https://doi.org/10.1007/BF02837813",
ISSN = "0253-4142 (print), 0973-7685 (electronic)",
ISSN-L = "0253-4142",
MRclass = "11Y60",
MRnumber = "983604",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu Aug 11 09:36:22 MDT 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Centennial issue.",
URL = "http://link.springer.com/article/10.1007/BF02837813",
acknowledgement = ack-nhfb,
ajournal = "Proc. Indian Acad. Sci. Math. Sci.",
author-dates = "Jonathan Michael Borwein (20 May 1951--2 August
2016)",
fjournal = "Indian Academy of Sciences. Proceedings. Mathematical
Sciences",
ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
xxyear = "1988",
}
@Article{Erdos:1987:NFW,
author = "Paul Erd{\H{o}}s and Carl Pomerance",
title = "On the number of false witnesses for a composite
number",
journal = j-LECT-NOTES-MATH,
volume = "1240",
pages = "97--100",
year = "1987",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0072975",
ISBN = "3-540-17669-1 (print), 3-540-47756-X (e-book)",
ISBN-13 = "978-3-540-17669-5 (print), 978-3-540-47756-3
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "11A25",
MRnumber = "894506 (89a:11010)",
MRreviewer = "D. H. Lehmer",
bibdate = "Thu May 15 18:46:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0072975/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0072971",
book-URL = "http://www.springerlink.com/content/978-3-540-47756-3",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
}
@Article{Colquitt:1991:NMP,
author = "W. N. Colquitt and L. {Welsh, Jr.}",
title = "A New {Mersenne} Prime",
journal = j-MATH-COMPUT,
volume = "56",
number = "194",
pages = "867--870",
month = apr,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11A41 (11Y11)",
MRnumber = "91h:11006",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C7310
(Mathematics)",
corpsource = "Houston Area Res. Centre, The Woodlands, TX, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "mathematics computing; Mersenne prime; NEC SX.2
computer; number theory",
reviewer-dates = "Derrick Henry Lehmer (23 February 1905--22 May
1991)",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Robbins:1926:PSP,
author = "C. K. Robbins",
title = "Problems and Solutions: Problems for Solution: 3181",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "5",
pages = "278--279",
month = may,
year = "1926",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Fitch:1961:APS,Irwin:1927:PSS,Riley:1927:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Andrew:1927:PSS,
author = "Thurman Andrew and Michael Goldberg",
title = "Problems and Solutions: Solutions: 3210",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "384--385",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Bullard:1927:PSS,
author = "J. A. Bullard and H. L. Slobin",
title = "Problems and Solutions: Solutions: 3211",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "385--385",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Irwin:1927:PSS,
author = "Frank Irwin and A. Pelletier",
title = "Problems and Solutions: Solutions: 3181",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "4",
pages = "217--218",
month = apr,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:23 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Robbins:1926:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Mills:1927:PSS,
author = "C. N. Mills and Otto Dunkel",
title = "Problems and Solutions: Solutions: 3207",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "382--384",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Riley:1927:PSSb,
author = "J. L. Riley and H. S. Uhler",
title = "Problems and Solutions: Solutions: 3182",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "4",
pages = "218--218",
month = apr,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:23 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Robbins:1926:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Corey:1928:PSP,
author = "S. A. Corey",
title = "Problems and Solutions: Problems for Solution: 3349",
journal = j-AMER-MATH-MONTHLY,
volume = "35",
number = "9",
pages = "494--494",
month = nov,
year = "1928",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:57 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Corey:1930:PSSa,Irwin:1930:PSS,Smith:1929:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Smith:1929:PSS,
author = "C. D. Smith and J. H. Neelley",
title = "Problems and Solutions: Solutions: 3351",
journal = j-AMER-MATH-MONTHLY,
volume = "36",
number = "10",
pages = "544--545",
month = dec,
year = "1929",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 07:12:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Corey:1928:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Anonymous:1930:PSSd,
author = "Anonymous",
title = "Problems and Solutions: Solutions: 3416",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "559--560",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Corey:1930:PSSa,
author = "S. A. Corey",
title = "Problems and Solutions: Solutions: 3349",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "1",
pages = "39--39",
month = jan,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:44 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Corey:1928:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Johnston:1930:PSS,
author = "L. S. Johnston and A. Pelletier and Otto Dunkel",
title = "Problems and Solutions: Solutions: 3415",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "559--559",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Rider:1930:PSP,
author = "P. R. Rider and B. C. Wong and L. S. Johnston and
William Hoover and C. O. Williamson and David H.
Dodge",
title = "Problems and Solutions: Problems for Solution:
3412--3418",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "3",
pages = "157--158",
month = mar,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:48 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Anonymous:1930:PSSd,Dodge:1931:PSS,Johnston:1930:PSS,Rider:1930:PSSa,Rider:1930:PSSb,Rider:1931:PSS,Williamson:1931:PSS,Wong:1930:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Rider:1930:PSSa,
author = "P. R. Rider and V. F. Ivanoff",
title = "Problems and Solutions: Solutions: 3412",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "556--557",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Rider:1930:PSSb,
author = "P. R. Rider and V. F. Ivanoff",
title = "Problems and Solutions: Solutions: 3413",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "557--558",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP,Rider:1931:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Dodge:1931:PSS,
author = "David H. Dodge and Beatrice Aitchison",
title = "Problems and Solutions: Solutions: 3418",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "1",
pages = "52--53",
month = jan,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:06 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Rider:1931:PSS,
author = "P. R. Rider and H. L. Rietz",
title = "Problems and Solutions: Solutions: 3413",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "5",
pages = "292--295",
month = may,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:15 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP,Rider:1930:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Williamson:1931:PSS,
author = "C. O. Williamson and E. M. Berry and R. Goormaghtigh",
title = "Problems and Solutions: Solutions: 3417",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "1",
pages = "51--52",
month = jan,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:06 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Altshiller-Court:1932:PSSa,
author = "Nathan Altshiller-Court and Edwin J. Purcell",
title = "Problems and Solutions: Solutions: 3477",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "1",
pages = "56--57",
month = jan,
year = "1932",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1931:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ivanoff:1932:PSSa,
author = "Vladimir F. Ivanoff and Marjorie E. Halliwill",
title = "Problems and Solutions: Solutions: 3476",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "1",
pages = "55--56",
month = jan,
year = "1932",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1931:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ivanoff:1932:PSSb,
author = "Vladimir F. Ivanoff and Ralph P. Agnew",
title = "Problems and Solutions: Solutions: 3478",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "2",
pages = "117--119",
month = feb,
year = "1932",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1931:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Anonymous:1933:CPE,
author = "Anonymous",
title = "Corrigenda: {A} Photo-Electric Number Siever",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "10",
pages = "630--630",
month = dec,
year = "1933",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 07:52:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See \cite{Lehmer:1933:PEN}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Anderson:1936:PSE,
author = "S. A. Anderson and Simon Vatriquant",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E210}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "642--643",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Cheney:1936:PSEe,
author = "W. F. {Cheney, Jr.} and C. L. Weaver",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E186}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "375--375",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Feld:1936:PSEc,
author = "J. M. Feld and L. M. Kelly",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E209}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "641--642",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Gloden:1936:PSEb,
author = "A. Gloden and J. W. Clawson",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E181}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "5",
pages = "306--306",
month = may,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:10 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Johnston:1936:PSE,
author = "L. S. Johnston and W. B. Clarke",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E206}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "640--641",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Reade:1936:PSE,
author = "M. O. Reade and B. C. Zimmerman",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E184}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "374--375",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Richmond:1936:PSE,
author = "C. A. Richmond",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E185}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "375--375",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE,Richmond:1937:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1936:PSEe,
author = "V. Th{\'e}bault and M. J. Turner",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E183}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "5",
pages = "308--309",
month = may,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:10 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1936:PSEj,
author = "V. Th{\'e}bault and Wm. Douglas",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E207}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "641--641",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Whittemore:1936:PSE,
author = "C. A. Whittemore",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E208}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "641--641",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Lehmer:1936:PSEa,Whittemore:1938:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1937:PSAa,
author = "Paul Erd{\H{o}}s",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3820",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "3",
pages = "179--180",
month = mar,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1939:PSAb,Goormaghtigh:1939:PSA,Musselman:1939:PSAa,Thebault:1939:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Richmond:1937:PSE,
author = "C. A. Richmond and R. M. Foster",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E185}",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "1",
pages = "50--51",
month = jan,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:24 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE,Richmond:1936:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1937:PSEl,
author = "V. Th{\'e}bault and Daniel Finkel and D. L. MacKay and
F. A. Alfieri and J. E. Trevor",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E299}--{E303}",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "9",
pages = "598--599",
month = nov,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:15:56 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Alfieri:1938:PSEb,Finkel:1938:PSE,MacKay:1938:PSEd,Thebault:1938:PSEg,Trevor:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Alfieri:1938:PSEb,
author = "F. A. Alfieri and R. W. Cowan",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E302}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "322--323",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Alfieri:1938:PSEd,
author = "F. A. Alfieri and E. S. Smith",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E315}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "692--693",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Cheney:1938:PSEc,
author = "Wm. F. {Cheney, Jr.} and W. C. Rufus",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E317}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "693--694",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Court:1938:PSAc,
author = "N. A. Court",
title = "Problems and Solutions: Advanced Problems: 3804",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "634--635",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Court:1938:PSEc,
author = "N. A. Court and L. M. Kelly",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E318}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "694--694",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Gaines:1938:PSA,
author = "R. E. Gaines and Evelyn Jaeckle",
title = "Problems and Solutions: Advanced Problems: 3805",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "699--700",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{MacKay:1938:PSEd,
author = "D. L. MacKay and B. C. Zimmerman",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E301}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "321--322",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Rosenbaum:1938:PSEb,
author = "Joseph Rosenbaum",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E319}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "694--696",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1938:PSEg,
author = "V. Th{\'e}bault and W. C. Rufus",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E299}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "320--320",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Trevor:1938:PSEa,
author = "J. E. Trevor",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E303}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "6",
pages = "387--389",
month = jun # "\slash " # jul,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:57 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Trevor:1938:PSEb,
author = "J. E. Trevor",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E316}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "693--693",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Whittemore:1938:PSE,
author = "G. A. Whittemore and W. E. Buker",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E208}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "7",
pages = "479--479",
month = aug # "\slash " # sep,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:00 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Lehmer:1936:PSEa,Whittemore:1936:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Goormaghtigh:1939:PSA,
author = "R. Goormaghtigh and Otto J. Ramler",
title = "Problems and Solutions: Advanced Problems: 3822",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "5",
pages = "302--303",
month = may,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Musselman:1939:PSAa,
author = "J. R. Musselman and C. E. Springer",
title = "Problems and Solutions: Advanced Problems: 3823",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "5",
pages = "303--304",
month = may,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Musselman:1939:PSAb,
author = "J. R. Musselman and R. Goormaghtigh",
title = "Problems and Solutions: Advanced Problems: Solutions:
3838",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "9",
pages = "602--604",
month = nov,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:25:38 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1939:PSAh,
author = "V. Th{\'e}bault",
title = "Problems and Solutions: Advanced Problems: Solutions:
3839",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "9",
pages = "604--606",
month = nov,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:25:38 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1939:PSSb,
author = "V. Th{\'e}bault and R. Goormaghtigh",
title = "Problems and Solutions: Solutions: 3821",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "4",
pages = "241--244",
month = apr,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thielman:1939:PSS,
author = "H. P. Thielman and Hsien-yu Hsu",
title = "Problems and Solutions: Solutions: 3836",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "8",
pages = "517--520",
month = oct,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:26 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thielman:1940:PSA,Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wallace:1939:PSSb,
author = "Don Wallace and J. H. Butchart",
title = "Problems and Solutions: Solutions: 3832",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "7",
pages = "457--457",
month = aug # "\slash " # sep,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:23 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Claudian:1940:PSEf,
author = "Virgil Claudian and V. W. Graham",
title = "Problems and Solutions: Elementary Problems: {E407}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "660--660",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Hardingham:1940:PSE,
author = "C. H. Hardingham and W. E. Buker",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E410}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "661--661",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Rufus:1940:PSEb,
author = "W. C. Rufus and E. K. Paxton",
title = "Problems and Solutions: Elementary Problems: {E408}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "660--661",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Segal:1940:PSEa,
author = "David Segal and Virgil Claudian and W. C. Rufus and V.
Th{\'e}bault and C. H. Hardingham",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E406}--{E410}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "2",
pages = "110--110",
month = feb,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:47 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Claudian:1940:PSEf,Hardingham:1940:PSE,Rufus:1940:PSEa,Rufus:1940:PSEb,Segal:1940:PSEc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Segal:1940:PSEc,
author = "David Segal and Esther Szekeres",
title = "Problems and Solutions: Elementary Problems: {E406}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "659--659",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1940:PSAk,
author = "V. Th{\'e}bault and R. Goormaghtigh",
title = "Problems and Solutions: Advanced Problems: 3840",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "7",
pages = "491--494",
month = aug # "\slash " # sep,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:58 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thielman:1940:PSA,
author = "H. P. Thielman and E. S. Pondiczery",
title = "Problems and Solutions: Advanced Problems: 3836",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "2",
pages = "115--117",
month = feb,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:47 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
note = "See also \cite{Thielman:1939:PSS,Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "John Wilder Tukey (16 June 1915--26 July 2000)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
remark = "Pondiczery is a pseudonym for a group: John W. Tukey,
Ralph P. Boas, F. Smithies, and others.",
}
@Article{Browne:1941:PSEb,
author = "D. H. Browne and H. W. Becker",
title = "Problems and Solutions: Elementary Problems: {E461}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "10",
pages = "701--703",
month = dec,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1941:PSEk,
author = "V. Th{\'e}bault and E. P. Starke",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E462}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "10",
pages = "703--704",
month = dec,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Court:1942:PSEa,
author = "N. A. Court and Howard Eves",
title = "Problems and Solutions: Elementary Problems: {E463}",
journal = j-AMER-MATH-MONTHLY,
volume = "49",
number = "1",
pages = "61--62",
month = jan,
year = "1942",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Johnston:1942:PSE,
author = "L. S. Johnston and Albert Furman",
title = "Problems and Solutions: Elementary Problems: {E465}",
journal = j-AMER-MATH-MONTHLY,
volume = "49",
number = "1",
pages = "62--62",
month = jan,
year = "1942",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1943:PSAa,
author = "P. Erd{\H{o}}s",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 4065",
journal = j-AMER-MATH-MONTHLY,
volume = "50",
number = "1",
pages = "65--66",
month = jan,
year = "1943",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:52 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Bellman:1944:PSAb,Erdos:1944:PSAa,Singer:1944:PSA,Thebault:1944:PSAe,Wall:1944:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Bellman:1944:PSAb,
author = "Richard Bellman",
title = "Problems and Solutions: Advanced Problems: 4066",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "8",
pages = "475--476",
month = oct,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1944:PSAa,
author = "P. Erd{\H{o}}s and Robert Steinberg",
title = "Problems and Solutions: Advanced Problems: 4065",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "3",
pages = "169--171",
month = mar,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:20 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Singer:1944:PSA,
author = "James Singer and N. G. Gunderson",
title = "Problems and Solutions: Advanced Problems: 4068",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "8",
pages = "476--477",
month = oct,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1944:PSAe,
author = "V. Th{\'e}bault",
title = "Problems and Solutions: Advanced Problems: 4069",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "8",
pages = "477--478",
month = oct,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Browne:1946:PSEc,
author = "D. H. Browne and E. P. Starke and Paul Bateman and M.
S. Knebelman",
title = "Problems and Solutions: Elementary Problems: {E706}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "9",
pages = "533--534",
month = nov,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
annote = "Author name is ``Knebleman'' in v50n6 and
``Knebelman'' in other issues from this decade.",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Court:1946:PSEb,
author = "N. A. Court",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E709}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "8",
pages = "470--470",
month = oct,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{deRegt:1946:PSS,
author = "M. P. {de Regt} and E. P. Starke",
title = "Problems and Solutions: Solutions: {E708}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "8",
pages = "469--469",
month = oct,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Thebault:1946:PSSb,
author = "Victor Th{\'e}bault and H. E. Fettis",
title = "Problems and Solutions: Solutions: {E707}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "8",
pages = "468--469",
month = oct,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Olds:1947:EPS,
author = "C. D. Olds",
title = "Elementary Problems and Solutions: {E760}",
journal = j-AMER-MATH-MONTHLY,
volume = "54",
number = "2",
pages = "108--108",
month = feb,
year = "1947",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:26 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Olds:1947:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Sandham:1948:APSc,
author = "H. F. Sandham",
title = "Advanced Problems and Solutions: Problems for
Solution: 4305",
journal = j-AMER-MATH-MONTHLY,
volume = "55",
number = "7",
pages = "431--432",
month = aug # "\slash " # sep,
year = "1948",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:00 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1962:APS,Goormaghtigh:1950:APSb,Lehmer:1950:APS,Sandham:1950:APSb,Wall:1950:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Goormaghtigh:1950:APSb,
author = "R. Goormaghtigh",
title = "Advanced Problems and Solutions: 4309",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "270--270",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Sandham:1950:APSb,
author = "H. F. Sandham and Martin Kneser",
title = "Advanced Problems and Solutions: 4305",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "267--268",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wall:1950:APSb,
author = "H. S. Wall and M. S. Robertson",
title = "Advanced Problems and Solutions: 4308",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "269--270",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Golomb:1954:APS,
author = "S. W. Golomb",
title = "Advanced Problems and Solutions: Problems for
Solution: 4593",
journal = j-AMER-MATH-MONTHLY,
volume = "61",
number = "6",
pages = "427--428",
month = jun # "\slash " # jul,
year = "1954",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:32 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1955:APSd,Golomb:1955:APS,Klamkin:1955:APSf,Lorentz:1955:APS,Reich:1955:APS,Reich:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Schoenberg:1954:APS,
author = "I. J. Schoenberg and Leonard Carlitz and Leon Bankoff
and Harry Goheen and C. M. Ablow and D. L. Johnson",
title = "Advanced Problems and Solutions: Problems for
Solution: 4598--4602",
journal = j-AMER-MATH-MONTHLY,
volume = "61",
number = "7",
pages = "476--477",
month = aug # "\slash " # sep,
year = "1954",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Thu Jul 8 14:13:16 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Ablow:1955:APS,Ablow:1957:APS,Bankoff:1955:APS,Carlitz:1955:APSb,Goheen:1955:APS,Schoenberg:1955:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ablow:1955:APS,
author = "C. M. Ablow and D. L. Johnson and A. E. Danese",
title = "Advanced Problems and Solutions: 4602",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "10",
pages = "736--737",
month = dec,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Ablow:1957:APS,Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Bankoff:1955:APS,
author = "Leon Bankoff and W. J. Blundon",
title = "Advanced Problems and Solutions: 4600",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "10",
pages = "734--736",
month = dec,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1955:APSd,
author = "Paul Erd{\H{o}}s and Howard Robbins",
title = "Advanced Problems and Solutions: 4597",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "663--664",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Goheen:1955:APS,
author = "Harry Goheen",
title = "Advanced Problems and Solutions: 4601",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "10",
pages = "736--736",
month = dec,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Klamkin:1955:APSf,
author = "M. S. Klamkin and A. S. Hendler",
title = "Advanced Problems and Solutions: 4595",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "660--661",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Lorentz:1955:APS,
author = "G. G. Lorentz",
title = "Advanced Problems and Solutions: 4596",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "661--663",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Reich:1955:APS,
author = "Edgar Reich and A. R. Hyde and S. K. B. Stein and
Albert Wilansky",
title = "Advanced Problems and Solutions: Solutions: 4594",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "8",
pages = "591--591",
month = oct,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:59 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS,Reich:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Schoenberg:1955:APSb,
author = "I. J. Schoenberg and Bruce Kellogg",
title = "Advanced Problems and Solutions: 4598",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "664--665",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Weissblum:1955:APS,
author = "W. E. Weissblum",
title = "Advanced Problems and Solutions: Problems for
Solution: 4633",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "4",
pages = "258--259",
month = apr,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:50 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Babbitt:1956:APS,Briggs:1956:APS,Lehmer:1956:APS,Wang:1956:APS,Weissblum:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Babbitt:1956:APS,
author = "A. E. {Babbitt, Jr.} and W. R. Scott",
title = "Advanced Problems and Solutions: Solutions: 4635",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "432--433",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Briggs:1956:APS,
author = "W. E. Briggs and V. D. Gokhale",
title = "Advanced Problems and Solutions: 4637",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "7",
pages = "498--500",
month = aug # "\slash " # sep,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:20 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1956:APS,
author = "Paul Erd{\H{o}}s and R. Venkatachalam and J. E.
{Wilkins, Jr.} and M. S. Klamkin",
title = "Advanced Problems and Solutions: Problems for
Solution: 4673--4677",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "2",
pages = "125--126",
month = feb,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:09 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1959:APSb,Iyer:1957:APSb,Klamkin:1957:APSa,Lehmer:1957:APS,Wilkins:1957:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Reich:1956:APS,
author = "Edgar Reich and S. L. Gulden",
title = "Advanced Problems and Solutions: 4594",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "427--429",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS,Reich:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wang:1956:APS,
author = "Chih-yi Wang and T. F. Mulcrone",
title = "Advanced Problems and Solutions: 4634",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "431--432",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Weissblum:1956:APS,
author = "W. E. Weissblum and John Isbell",
title = "Advanced Problems and Solutions: 4633",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "431--431",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ablow:1957:APS,
author = "C. M. Ablow and D. L. Johnson and G. Lorentz",
title = "Advanced Problems and Solutions: 4602",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "1",
pages = "50--50",
month = jan,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:29 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Ablow:1955:APS,Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Iyer:1957:APSb,
author = "R. Venkatachalam Iyer and D. C. B. Marsh",
title = "Advanced Problems and Solutions: 4674",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "121--122",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Klamkin:1957:APSa,
author = "M. S. Klamkin and Leonard Carlitz",
title = "Advanced Problems and Solutions: Solutions: 4677",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "124--125",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Wilkins:1957:APSb,
author = "J. E. {Wilkins, Jr.} and J. Horvath",
title = "Advanced Problems and Solutions: 4676",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "123--123",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1958:APSa,
author = "Paul Erd{\H{o}}s and C. R. Phelps",
title = "Advanced Problems and Solutions: 3834",
journal = j-AMER-MATH-MONTHLY,
volume = "65",
number = "1",
pages = "47--48",
month = jan,
year = "1958",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:51 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1959:APSb,
author = "Paul Erd{\H{o}}s",
title = "Advanced Problems and Solutions: 4673",
journal = j-AMER-MATH-MONTHLY,
volume = "66",
number = "5",
pages = "427--427",
month = may,
year = "1959",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:24 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Fitch:1961:APS,
author = "Philip Fitch and C. F. Pinzka",
title = "Advanced Problems and Solutions: Solutions: 3183",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "8",
pages = "812--814",
month = oct,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:27 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Robbins:1926:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Erdos:1962:APS,
author = "Paul Erd{\H{o}}s",
title = "Advanced Problems and Solutions: Solutions: 4306",
journal = j-AMER-MATH-MONTHLY,
volume = "69",
number = "2",
pages = "173--173",
month = feb,
year = "1962",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:36 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Makowski:1962:APS,
author = "A. Makowski",
title = "Advanced Problems and Solutions: Problems for
Solution: 5037",
journal = j-AMER-MATH-MONTHLY,
volume = "69",
number = "7",
pages = "670--671",
month = aug # "\slash " # sep,
year = "1962",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:48 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Barrucand:1963:APS,Funkenbusch:1963:APS,Makowski:1963:APS,Meisters:1963:APSb,Newman:1963:APSd,Ungar:1963:APSb,Warner:1963:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "Check pages??",
}
@Article{Funkenbusch:1963:APS,
author = "W. W. Funkenbusch",
title = "Advanced Problems and Solutions: Solutions: 5043",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "771--772",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Makowski:1963:APS,
author = "A. Makowski and Leonard Carlitz",
title = "Advanced Problems and Solutions: Solutions: 5037",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "766--767",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Meisters:1963:APSb,
author = "G. H. Meisters and Harlan Stevens",
title = "Advanced Problems and Solutions: Solutions: 5038",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "767--768",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Newman:1963:APSd,
author = "D. J. Newman and Robert Breusch",
title = "Advanced Problems and Solutions: Solutions: 5040",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "769--769",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Ungar:1963:APSb,
author = "Peter Ungar and F. P. {Callahan, Jr.}",
title = "Advanced Problems and Solutions: Solutions: 5041",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "770--770",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Warner:1963:APSb,
author = "Seth Warner and B. R. Toskey",
title = "Advanced Problems and Solutions: Solutions: 5039",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "768--769",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Cahit:1977:PSE,
author = "Ibrahim Cahit and Marianne Gardner and Haim Rose and
G. Tsintsifas and R. P. Boas and Robert Gilmer",
title = "Problems and Solutions: Elementary Problems:
{E2671}--{E2676}",
journal = j-AMER-MATH-MONTHLY,
volume = "84",
number = "8",
pages = "651--652",
month = oct,
year = "1977",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:47 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Boas:1979:PSSa,Cahit:1978:PSS,Gardner:1979:PSS,Gilmer:1979:PSS,Rose:1979:PSS,Tsintsifas:1979:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Knothe:1977:PSA,
author = "Herbert Knothe and C. C. Chen and D. E. Daykin and M.
J. Pelling and Thomas E. Elsner and Robert E. Shafer
and Clark Kimberling",
title = "Problems and Solutions: Advanced Problems:
6156--6161",
journal = j-AMER-MATH-MONTHLY,
volume = "84",
number = "6",
pages = "491--491",
month = jun # "\slash " # jul,
year = "1977",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:42 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Elsner:1979:PSS,Kimberling:1979:APS,Knothe:1979:PSS,Shafer:1979:PSSa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Cahit:1978:PSS,
author = "Ibrahim Cahit and Paul Vojta and G. W. Peck",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2671}",
journal = j-AMER-MATH-MONTHLY,
volume = "85",
number = "10",
pages = "827--827",
month = dec,
year = "1978",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:14 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Boas:1979:PSSa,
author = "R. P. Boas and Allen Stenger",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2675}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "58--58",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Elsner:1979:PSS,
author = "Thomas E. Elsner and Allen J. Schwenk",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6159",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "2",
pages = "135--136",
month = feb,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Gardner:1979:PSS,
author = "Marianne Gardner and David M. Bloom",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2672}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "56--56",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Gilmer:1979:PSS,
author = "Robert Gilmer and A. A. Jagers",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2676}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "58--58",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Kimberling:1979:APS,
author = "Clark Kimberling and W. C. Waterhouse",
title = "Advanced Problems and Solutions: Solutions: 6161",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "2",
pages = "136--136",
month = feb,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Shafer:1979:PSSa,
author = "Robert E. Shafer and Andrzej Makowski",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6160",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "7",
pages = "597--598",
month = aug # "\slash " # sep,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Tsintsifas:1979:PSS,
author = "G. Tsintsifas and D. Z. Djokovic",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2674}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "57--57",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Sanchez:1981:PSS,
author = "David A. Sanchez and Deborah Frank Lockhart",
title = "Problems and Solutions: Solutions of Problems
Dedicated to {Emory P. Starke}: {S28}",
journal = j-AMER-MATH-MONTHLY,
volume = "88",
number = "9",
pages = "704--705",
month = nov,
year = "1981",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:33 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Lehmer:1980:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Howe:1989:LEN,
author = "Roger E. Howe",
title = "Letter to the Editor: {``A New Approach to Bernoulli
Polynomials''}",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "8",
pages = "708--709",
month = oct,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:33 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See \cite{Lehmer:1988:NAB}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Han:2021:NHD,
author = "Di Han and Zhefeng Xu and Yuan Yi and Tianping Zhang",
title = "A note on high-dimensional {D. H. Lehmer} problem",
journal = "Taiwanese J. Math.",
volume = "25",
number = "6",
pages = "1137--1157",
year = "2021",
DOI = "https://doi.org/10.11650/tjm/210705",
ISSN = "1027-5487",
MRclass = "11L07 (11L05)",
MRnumber = "4342368",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Taiwanese Journal of Mathematics",
}
@Proceedings{Anonymous:1951:PSS,
editor = "Anonymous",
booktitle = "{Proceedings of a Second Symposium on Large-Scale
Digital Calculating Machinery, Harvard University
Computation Laboratory, 13--16 September 1949}",
title = "{Proceedings of a Second Symposium on Large-Scale
Digital Calculating Machinery, Harvard University
Computation Laboratory, 13--16 September 1949}",
volume = "26",
publisher = pub-HARVARD,
address = pub-HARVARD:adr,
bookpages = "xxxviii + 393",
pages = "xxxviii + 393",
year = "1951",
ISSN = "????",
LCCN = "QA75 .S9 1949",
bibdate = "Tue Dec 21 16:10:10 2010",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Annals of the Computation Laboratory of Harvard
University",
acknowledgement = ack-nhfb,
}
@Book{Beckenbach:1956:MME,
editor = "Edwin Ford Beckenbach",
booktitle = "Modern Mathematics for the Engineer: First Series",
title = "Modern Mathematics for the Engineer: First Series",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xxii + 514",
year = "1956",
MRclass = "00A06",
bibdate = "Tue Oct 24 14:09:24 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "University of California Engineering Extension
Series",
ZMnumber = "0071.04603",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991);
George Elmer Forsythe (8 January 1917--9 April 1972);
Magnus Rudolph Hestenes (13 February 1906--31 May
1991)",
tableofcontents = "Part 1: Mathematical Models \\
1. Linear and Nonlinear Oscillations / Solomon
Lefschetz \\
2. Equilibrium Analysis: The Stability Theory of
Poincare and Liapunov / Richard Bellman \\
3. Exterior Ballistics / John W. Green \\
4. Elements of the Calculus of Variations / Magnus R.
Hestenes \\
5. Hyperbolic Partial Differential Equations and
Applications / Richard Courant \\
6. Boundary-Value Problems in Elliptic Partial
Differential Equations / Menahem M. Schiffer \\
7. The Elastostatic Boundary-Value Problems / Ivan S.
Sokolnikoff \\
Part 2: Probabilistic Problems \\
8. The Theory of Prediction / Norbert Wiener \\
9. The Theory of Games/ Frederic Bohnenblust \\
10. Applied Mathematics in Operations Research /
Gilbert W. King \\
11. The Theory of Dynamic Programming / Richard Bellman
\\
12. Monte Carlo Methods / George W. Brown \\
Part 3: Computational Considerations \\
13. Matrices in Engineering / Louis A. Pipes \\
14. Functional Transformations for Engineering Design /
John L. Barnes \\
15. Conformal Mapping Methods / Edwin F. Beckenbach \\
16. Nonlinear Methods / Charles B. Morrey, Jr. \\
17. What are Relaxation Methods? / George E. Forsythe
\\
18. Methods of Steep Descent / Charles B. Tompkins \\
19. High-Speed Computing Devices and Their Applications
/ Derrick H. Lehmer",
ZBmath = "3118547",
}
@Proceedings{Meyer:1956:SMC,
editor = "Herbert A. Meyer",
booktitle = "Symposium on {Monte Carlo} Methods: held at the
{University of Florida, March 16 and 17, 1954}",
title = "Symposium on {Monte Carlo} Methods: held at the
{University of Florida, March 16 and 17, 1954}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
bookpages = "xvi + 382",
pages = "xvi + 382",
year = "1956",
LCCN = "QA273 U577",
bibdate = "Mon Jun 27 12:23:47 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
https://www.math.utah.edu/pub/tex/bib/probstat1950.bib",
acknowledgement = ack-nhfb,
HDnumber = "83",
tableofcontents = "Preface \\
Foreword \\
Acknowledgments \\
A. W. Marshall: An introductory note \\
Olga Taussky and John Todd: Generation and testing of
pseudo random numbers / 15--28 \\
N. Metropolis: Phase shifts, middle squares, wave
equation \\
G. E. Albert: A general theory of stochastic estimates
of the Neumann series for the solution of certain
Fredholm integral equations \\
Theodore S. Motzkin: Neighbor sets for random walks and
difference equations \\
Nancy S. Dismuke: Application of Monte Carlo methods to
tactical games \\
Hale F. Trotter and John W. Tukey: Conditional Monte
Carlo for normal samples / 64--79 \\
Harvey J. Arnold, Bradley D. Bucher, Hale F. Trotter
and John W. Tukey: Monte Carlo techniques in a complex
problem about normal samples / 80--88 \\
Martin J. Berger: An application of the Monte Carlo
method to a problem in Gamma Ray diffusion \\
L. A. Beach and R. B. Theus: Stochastic calculations of
gamma ray diffusion \\
A. W. Marshall: Application of multiple stage sampling
procedures to Monte Carlo problems \\
John E. Walsh: Questionable usefullness of variance
measuring estimate accuracy in Monte Carlo importance
sampling problems \\
C. W. Vickery: Experimental determination of
Eigenvalues and dynamic influence coefficients for
complex structures such as airplanes \\
Herman Kahn: Use of different Monte Carlo sampling
techniques \\
J. H. Curtiss: A theoretical comparison of the
efficiencies of two classical methods and Monte Carlo
method for computing one component of the solution of a
set of linear algebraic equations \\
E. J. Lytle: A description of the generation and
testing of a set of random normal deviates \\
James W. Butler: Machine sampling from given
probability distributions \\
John E. Walsh: A Monte Carlo technique for obtaining
tests and confidence intervals for insurance mortality
rates \\
Alwin Walther: Experiments and models for the Monte
Carlo method \\
Bibliography",
}
@Proceedings{Macphail:1959:PFC,
editor = "M. S. Macphail",
booktitle = "{Proceedings of the fourth Canadian Mathematical
Congress: Banff, 1957 = Comptes rendus du quatri{\`e}me
Congr{\`e}s canadien de math{\'e}matiques: Banff,
1957}",
title = "{Proceedings of the fourth Canadian Mathematical
Congress: Banff, 1957 = Comptes rendus du quatri{\`e}me
Congr{\`e}s canadien de math{\'e}matiques: Banff,
1957}",
publisher = "University of Toronto Press",
address = "Toronto, ON, Canada",
bookpages = "viii + 184",
pages = "viii + 184",
year = "1959",
LCCN = "QA7 .C37 1957",
bibdate = "Tue Jun 28 06:52:35 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
meetingname = "Canadian Mathematical Congress (4th: 1957: Banff,
Alta.)",
remark = "Papers in English or French. Prefatory matter in
English and French. ``Devoted to the Sixth Seminar and
Fourth Congress, held in 1957 at Edmonton and
Banff''--T.p. verso.",
subject = "Mathematics; Congresses; Kanada",
}
@Book{Beckenbach:1964:ACM,
editor = "Edwin F. Beckenbach and George P{\'o}lya",
booktitle = "Applied Combinatorial Mathematics",
title = "Applied Combinatorial Mathematics",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xxi + 608",
year = "1964",
LCCN = "QA164 .B4 1964",
bibdate = "Fri Oct 4 12:33:11 MDT 2024",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
remark = "Reprinted in \cite{Beckenbach:1991:ACM}.",
subject = "Combinatorial analysis; Electronic digital computers;
Computers; Analyse combinatoire; Ordinateurs",
}
@Proceedings{Metropolis:1980:HCT,
editor = "Nicholas Metropolis and Jack Howlett and Gian-Carlo
Rota",
booktitle = "A History of Computing in the {Twentieth Century}: a
Collection of Essays",
title = "A History of Computing in the {Twentieth Century}: a
Collection of Essays",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xix + 659",
year = "1980",
DOI = "https://doi.org/10.1016/C2009-0-22029-0",
ISBN = "0-12-491650-3, 1-4832-9668-7 (e-book)",
ISBN-13 = "978-0-12-491650-0, 978-1-4832-9668-5 (e-book)",
LCCN = "QA75.5 .I63 1976",
bibdate = "Tue Aug 15 18:57:33 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
note = "Original versions of these papers were presented at
the International Research Conference on the History of
Computing, held at the Los Alamos Scientific
Laboratory, 10--15 June 1976.",
abstract = "\booktitle{A History of Computing in the Twentieth
Century} focuses on the advancements in the processes,
methodologies, programs, and techniques in computing.
The selection first elaborates on computing
developments in Cambridge, U.S.A., pioneering work on
computers at Bletchley, and the COLOSSUS. Discussions
focus on secrecy and priority, the first COLOSSUS, MARK
II COLOSSUS, postwar developments in computing, and the
HEATH ROBINSON project. The text then ponders on
Turing's work at the National Physical Laboratory and
the construction of Pilot ACE, DEUCE, and ACE, the
Smithsonian Computer History Project, and programming
in America. Topics include origins of FORTRAN,
optimization techniques in FORTRAN, DEUCE computer, and
the Pilot ACE. The book takes a look at the development
of programming in the USSR, advancement of programming
languages, and reflections on the evolution of
algorithmic language. The book also examines the
computer development at Manchester University, the
sieve process, MANIAC project, and the ENIAC project.
The selection is a valuable reference for computer
science experts and researchers interested in the
development of computing.",
acknowledgement = ack-nhfb,
author-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015)",
remark = "This book contains the edited versions of the papers
presented at the international research Conference on
the History of Computing, held at the Los Alamos
Scientific Laboratory, 10--15 June 1976. The book
provides an account of the development of the first
large-scale computers in the first half of the
twentieth century. Each chapter describes one phase of
the development and is written by either a participant
or a witness to these events. The treatment is
narrative and factual and is meant to give a first
exposition of the res gestae. The Exposition is
accessible to anyone interested in the subject and
requires no technical background.",
tableofcontents = "Contributors / / ii--ii \\
Front Matter / / iii--iii \\
Copyright / / iv--iv \\
Dedication [to John R. Pasta] / / v--v \\
List of Contributors / / xi--xiii \\
Preface / / xv--xvii \\
Acknowledgments / / xviii--xviii \\
Introductory Essay / N. Metropolis and Gian-Carlo Rota
/ xix--xx \\
Part I. Introduction \\
We would know what they thought when they did it / R.
W. Hamming / 3--9 \\
Historiography: a perspective for computer scientists /
Kenneth O. May / 11--18 \\
Part II. The human side \\
Computer developments 1935--1955, as seen from
Cambridge, U.S.A. / Garrett Birkhoff / 21--30 \\
Pioneering work on computers at Bletchley / I. J. Good
/ 31--45 \\
The COLOSSUS / B. Randell / 47--92 \\
Von Neumann: the interaction of mathematics and
computing / S. M. Ulam / 93--99 \\
Turing's work at the National Physical Laboratory and
the construction of Pilot ACE, DEUCE, and ACE / J. H.
Wilkinson / 101--114 \\
The Smithsonian computer history project and some
personal recollections / Henry S. Tropp / 115--122 \\
Part III. The languages \\
Programming in America in the 1950s: some personal
impressions / John Backus / 125--135 \\
The early development of programming in the USSR /
Andrei P. Ershov and Mikhail R. Shura-Bura / 137--196
\\
The early development of programming languages / Donald
E. Knuth and Luis Trabb Pardo / 197--273 \\
Reflections on the evolution of algorithmic language /
Mark B. Wells / 275--287 \\
Part IV. The machines \\
Computer development at the Institute for Advanced
Study / Julian Bigelow / 291--310 \\
From ENIAC to the stored-program computer: two
revolutions in computers / Arthur W. Burks / 311--344
\\
Computer development at Argonne National Laboratory /
J. C. Chu / 345--346 \\
The ORDVAC and the ILLIAC / James E. Robertson \\
WHIRLWIND / Robert R. Everett // 347--364 \\
Reminiscences of Oak Ridge / A. S. Householder /
385--388 \\
Computer development at IBM / Cuthbert C. Hurd /
389--418 \\
The SWAC: the National Bureau of Weather Standards
Western Automatic Computer / Harry D. Huskey / 419--431
\\
Computer development at Manchester University / S. H.
Lavington / 433--443 \\
A history of the sieve process / D. H. Lehmer /
445--456 \\
The MANIAC / N. Metropolis / 457--464 \\
Early research on computers at RCA / Jan Rajchman /
465--469 \\
Memories of the Bureau of Standards' SEAC / Ralph J.
Slutz / 471--477 \\
Early computers / George R. Stibitz / 479--483 \\
The start of an ERA: Engineering Research Associates,
Inc., 1946--1955 / Erwin Tomash / 485--495 \\
Early programming development in Cambridge / M. V.
Wilkes / 497--501 \\
Part V. The places \\
Between Zuse and Rutishauser: the early development of
digital computing in central Europe / Friedrich L.
Bauer / 505--524 \\
The ENIAC / J. Presper Eckert, Jr. / 525--539 \\
The ENIAC / John W. Mauchly / 541--550 \\
Computers in the University of London, 1945--1962 /
Andrew D. Booth / 551--561 \\
A programmer's early memories / Edsger W. Dijkstra /
563--573 \\
Early history of computing in Japan / Ryota Suekane /
575--578 \\
From mechanical linkages to electronic computers:
recollections from Czechoslovakia / Antonin Svoboda /
579--586 \\
Central European prehistory of computing / H. Zemanek /
587--609 \\
Some remarks on the history of computing in Germany /
Konrad Zuse / 611--627 \\
The origins of digital computers: supplementary
bibliography / B. Randell // 629--659 \\
General Index / / 661--683 \\
Index of Claimed Firsts and Inventions / 684--685 \\
Index of Names / 686--693",
}
@Book{Beckenbach:1981:ACM,
editor = "Edwin F. Beckenbach and George P{\'o}lya",
booktitle = "Applied Combinatorial Mathematics",
title = "Applied Combinatorial Mathematics",
publisher = "R. E. Krieger Pub. Co.",
address = "Malabar, FL, USA",
pages = "xxi + 608",
year = "1981",
ISBN = "0-89874-172-6",
ISBN-13 = "978-0-89874-172-8",
LCCN = "QA164 .B4 1981",
bibdate = "Fri Oct 4 12:33:11 MDT 2024",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)",
remark = "Based on the Statewide lecture series on combinatorial
mathematics offered by the University of California,
University Extension, Engineering and Physical Sciences
Division, in 1962. Reprint of the edition published by
Wiley, New York, in series: University of California
engineering and physical sciences extension series.",
subject = "Combinatorial analysis; Electronic digital computers;
Computers; Analyse combinatoire; Ordinateurs",
}
@Proceedings{Vouk:1992:PAS,
editor = "Mladen A. Vouk and Douglas S. Reeves and Cherri M.
Pancake",
booktitle = "{Proceedings of the 30th Annual Southeast Regional
Conference: 1992, Raleigh, North Carolina, April 8--10,
1992}",
title = "{Proceedings of the 30th Annual Southeast Regional
Conference: 1992, Raleigh, North Carolina, April 8--10,
1992}",
publisher = pub-ACM,
address = pub-ACM:adr,
year = "1992",
ISBN = "0-89791-506-2",
ISBN-13 = "978-0-89791-506-9",
LCCN = "QA75.5 .S69a 1992",
bibdate = "Mon Feb 27 18:18:56 MST 2012",
bibsource = "catalog.princeton.edu:7090/voyager;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
meetingname = "ACM Southeast Regional Conference (30th: 1992:
Raleigh, NC)",
remark = "Title from title screen.",
subject = "Electronic data processing; Congresses; Database
management; Computer programming; Computer-assisted
instruction",
}
@Book{Goldstine:1993:CPN,
author = "Herman H. (Herman Heine) Goldstine",
booktitle = "The computer from {Pascal} to {von Neumann}",
title = "The computer from {Pascal} to {von Neumann}",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "xii + 378",
year = "1993",
ISBN = "0-691-02367-0 (paperback), 0-691-08104-2 (hardback)",
ISBN-13 = "978-0-691-02367-0 (paperback), 978-0-691-08104-5
(hardback)",
LCCN = "TK7885.A5 G64 1993",
bibdate = "Tue Jan 22 08:24:50 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/adabooks.bib;
prodorbis.library.yale.edu:7090/voyager",
URL = "http://www.jstor.org/stable/j.ctt7rvp0",
acknowledgement = ack-nhfb,
author-dates = "1913--2004",
remark = "First Princeton paperback printing, 1980.",
subject = "Computers; History",
tableofcontents = "Part 1. The historical background up to World War
II \\
Part 2. Wartime developments: ENIAC and EDVAC \\
Part 3. Post-World War II: the von Neumann machine and
the Institute for Advanced Study",
}
@Proceedings{Gautschi:1994:MCH,
editor = "Walter Gautschi",
booktitle = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
title = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
volume = "48",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xix + 643",
year = "1994",
ISBN = "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
(pt. 2)",
ISBN-13 = "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
978-0-8218-0354-7 (pt. 2)",
ISSN = "0160-7634",
LCCN = "QA1 .A56 v.48 1994; QA297.M385 1993",
MRclass = "00B25 (11-06 65-06)",
MRnumber = "95j:00014",
bibdate = "Mon Oct 24 11:37:20 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
note = "See also SIAM Review, September 1995, {\bf 37}(3), p.
483.",
series = "Proceedings of Symposia in Applied Mathematics",
acknowledgement = ack-nhfb,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
tableofcontents = "Preface / xi \\
Mathematics of Computation: A brief history / Eugene
Isaacson / xvii \\
\\
Part I. Symposium on Numerical Analysis \\
\\
Invited Papers \\
\\
On the development of multigrid methods and their
analysis / James H. Bramble / 5 \\
An introduction to inverse problems / Margaret Cheney /
21 \\
Algorithms for unconstrained optimization: A review of
recent developments / Donald Goldfarb / 33 \\
A survey of componentwise perturbation theory in
numerical linear algebra / Nicholas J. Higham / 49 \\
Numerical evaluation of special functions / D. W.
Lozier and F. W. J. Olver / 79 \\
A survey of numerical cubature over triangles / J. N.
Lyness and Ronald Cools / 127 \\
New trends in the use and analysis of integral
equations / J. C. Nedelec / 151 \\
Applications of multivariate splines / Larry L.
Schumaker / 177 \\
Initial value problems for ordinary differential
equations: Development of ideas, techniques, and
implementation / Hans J. Stetter / 205 \\
Multiresolution methods for partial differential
equations / Roger Temam / 225 \\
\\
Contributed Papers \\
\\
A comparison of techniques for solving ill-conditioned
problems arising from the immersed boundary method /
Loyce Adams and Zhiyun Yang / 243 \\
A mixed spectral-collocation and operator splitting
method for the Wigner-Poisson equation / Anton Arnold /
249 \\
Finite volume methods for irregular one-dimensional
grids / M. J. Berger, R. J. Leveque, and L. G. Stern /
255 \\
Linear rational interpolation of continuous functions
over an interval / Jean-Paul Berrut / 261 \\
A von Neumann reflection for the 2-D Burgers equation /
M. Brio and J. K. Hunter / 265 \\
Slow evolution from the boundary: A new stabilizing
constraint in ill-posed continuation problems / Alfred
S. Carasso / 269 \\
A finite element method for the 2D drift-diffusion
semiconductor model / Zhangxin Chen / 275 \\
Splitting functions and numerical analysis of WR-type
methods for evolutionary and stationary problems / S.
De Marchi, M. Vianello, and R. Zanovello / 281 \\
Error estimates for a quadrature rule for Cauchy
principal value integrals / Kai Diethelm / 287 \\
A numerical radius approach to stable difference
schemes for parabolic systems / Moshe Goldberg / 293
\\
An extension of the Olver-Sookne method for the
solution of second-order linear difference equations /
Takemitsu Hasegawa and Tatsuo Torii / 297 \\
The Faber polynomials for circular arcs / Matthew He /
301 \\
Finite element approximation for optimal control of
electrically conducting fluid flows / L. S. Hou and S.
S. Ravindran / 305 \\
ADI methods for heat equations with discontinuities
along an arbitrary interface / Zhilin Li and Anita Mayo
/ 311 \\
Eigenvalue approximation of Fredholm integral operators
/ E. B. Lin / 317 \\
Spectral methods for singular perturbation problems /
Wenbin Liu and Tao Tang / 323 \\
A quaternion-Jacobi method for symmetric matrices /
Niloufer Mackey / 327 \\
On constructing Chebyshev series solutions of
differential equations / Allan J. MacLeod / 333 \\
Multiquadric collocation methods in the numerical
solution of Volterra integral and integro-differential
equations / Athena Makroglou / 337 \\
Methods for solving large eigenvalue problems
associated with configuration interaction electronic
structure calculations / Kristyn J. Maschhoff / 343 \\
Computing limiting normals to real surfaces / Donal
O'Shea and Les Wilson / 349 \\
Orthogonal spline collocation solution of nonlinear
Schr{\"o}dinger equations / Mark P. Robinson / 355 \\
Who invented the computer? The debate from the
viewpoint of computer architecture / Ra{\'u}l Rojas /
361 \\
Locking and boundary layer effects in the finite
element approximation of the Reissner--Mindlin plate
model / Christoph Schwab and Manil Suri / 367 \\
Efficient spectral Galerkin methods for some elliptic
problems / Jie Shen / 373 \\
Periodic solutions of higher-order difference equations
in two independent variables / Qin Sheng and Ravi P.
Agarwal / 377 \\
Front tracking based on high-resolution wave
propagation methods / Keh-Ming Shyue / 383 \\
Time-splitting methods for nonhomogeneous conservation
laws / Tao Tang and Zhen-Huan Teng / 389 \\
Numerical aspects of uniform Airy-type asymptotic
expansions / N. M. Temme / 395 \\
Local dynamics and bifurcation consistencies of
continuous-time dynamical systems and their numerical
discretizations / Xin Wang, Edward K. Blum, and Qingnan
Li / 399 \\
Computing integrals of the complex error function / J.
A. C. Weideman / 403 \\
Quadratures for improper integrals and their
applications in integral equations / Yuesheng Xu and
Yunhe Zhao / 409 \\
Spline harmonic analysis and wavelet bases / Valery A.
Zheludev / 415 \\
\\
Part II. Minisymposium on Computational Number Theory
Dedicated to the memory of Derrick Henry Lehmer \\
\\
Invited Papers \\
\\
Algorithms for quadratic orders / Ingrid Biehl and
Johannes Buchmann / 425 \\
Analytic computations in number theory / Andrew M.
Odlyzko / 451 \\
The number field sieve / Carl Pomerance / 465 \\
Factoring integers before computers / H. C. Williams
and J. O. Shallit / 481 \\
\\
Contributed Papers \\
\\
Explicit bounds for primes in residue classes / Eric
Bach and Jonathan Sorenson / 535 \\
Ramanujan and Euler's constant / Richard P. Brent / 541
\\
Congruential sieves on FPGA computers / Nathan D.
Bronson and Duncan A. Buell / 547 \\
Lehmer pairs of zeros and the Riemann $\xi$-function /
George Csordas, Wayne Smith, and Richard S. Varga / 553
\\
A record Aliquot sequence / Andrew W. P. Guy and
Richard K. Guy / 557 \\
Implications of computational mathematics for the
philosophy of mathematics / Andrew J. Lazarus / 561 \\
Square roots of products of algebraic numbers / Peter
L. Montgomery / 567 \\
A locally parameterized version of Lehmer's problem /
Gary A. Ray / 573 \\
A new method for finding amicable pairs / H. J. J. te
Riele / 577 \\
Generalized Fermat numbers / Hans Riesel and Anders
Bj{\"o}rn / 583 \\
Evaluation of $\zeta_K(2)$ for some totally real
algebraic number fields K of degree 9 / Kisao Takeuchi
/ 589 \\
The period of the Bell exponential integers modulo a
prime / Samuel S. Wagstaff, Jr. / 595 \\
Computing invariant polynomials of $p$-adic reflection
groups / Changsheng Xu / 599 \\
Author Index / 603 \\
Subject Index / 619",
}
@Proceedings{Levelt:1995:IPI,
editor = "A. H. M. Levelt",
booktitle = "{ISSAC '95: Proceedings of the 1995 International
Symposium on Symbolic and Algebraic Computation: July
10--12, 1995, Montr{\'e}al, Canada}",
title = "{ISSAC '95: Proceedings of the 1995 International
Symposium on Symbolic and Algebraic Computation: July
10--12, 1995, Montr{\'e}al, Canada}",
publisher = pub-ACM,
address = pub-ACM:adr,
bookpages = "xviii + 314",
pages = "xviii + 314",
year = "1995",
ISBN = "0-89791-699-9",
ISBN-13 = "978-0-89791-699-8",
LCCN = "QA 76.95 I59 1995",
bibdate = "Thu Sep 26 05:34:21 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "ACM order number 505950.",
series = "ISSAC -PROCEEDINGS- 1995",
abstract = "The following topics were dealt with: differential
equations; visualisation; algebraic numbers;
algorithms; systems; polynomial and differential
algebra; seminumerical methods; greatest common
divisors; and.",
acknowledgement = ack-nhfb,
classification = "C4100 (Numerical analysis); C4170 (Differential
equations); C7310 (Mathematics computing)",
confdate = "10--12 July 1995",
conflocation = "Montr{\'e}al, Que., Canada",
confsponsor = "ACM",
keywords = "algebra --- data processing --- congresses; Algebraic
numbers; Algorithms; Differential algebra; Differential
equations; Greatest common divisors; mathematics ---
data processing --- congresses; Polynomial;
Seminumerical methods; Systems; Visualisation",
pubcountry = "USA",
source = "ISSAC '95",
thesaurus = "Data visualisation; Differential equations; Group
theory; Numerical analysis; Symbol manipulation",
}
@Proceedings{Mourrain:2001:IJU,
editor = "Bernard Mourrain",
booktitle = "{ISSAC 2001: July 22--25, 2001, University of Western
Ontario, London, Ontario, Canada: proceedings of the
2001 International Symposium on Symbolic and Algebraic
Computation}",
title = "{ISSAC 2001: July 22--25, 2001, University of Western
Ontario, London, Ontario, Canada: proceedings of the
2001 International Symposium on Symbolic and Algebraic
Computation}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "xii + 352",
year = "2001",
ISBN = "1-58113-417-7",
ISBN-13 = "978-1-58113-417-9",
LCCN = "QA76.95.I59 2001",
bibdate = "Wed May 15 14:30:19 2002",
bibsource = "http://www.acm.org/pubs/contents/proceedings/series/issac/;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/tex/bib/issac.bib",
note = "ACM order number 505010.",
acknowledgement = ack-nhfb,
}
@Book{Beckenbach:2013:MMEa,
editor = "Edwin Ford Beckenbach",
booktitle = "Modern Mathematics for the Engineer: First Series",
title = "Modern Mathematics for the Engineer: First Series",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xx + 514",
year = "2013",
ISBN = "0-486-49746-1 (paperback), 0-486-31611-4 (e-book)",
ISBN-13 = "978-0-486-49746-4 (paperback), 978-0-486-31611-6
(e-book)",
LCCN = "QA401 .B4 2013",
bibdate = "Wed Oct 25 06:56:51 MDT 2023",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "With an introduction by Royal Weller. Reprint of
\cite{Beckenbach:1956:MME}.",
series = "Dover books on engineering",
acknowledgement = ack-nhfb,
author-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
1991)",
subject = "Math{\'e}matiques de l'ing{\'e}nieur.",
tableofcontents = "Linear and nonlinear oscillations / Solomon
Lefschetz \\
Equilibrium analysis: the stability theory and Liapunov
/ Richard Bellman \\
Exterior ballistics / John W. Green \\
Elements of the calculus of variations / Magnus R.
Hestenes \\
Hyperbolic partial differential equations and
applications / Richard Courant \\
Boundary-value problems in elliptic partial
differential equations / Menahem M. Schiffer \\
The elastostatic boundary-value problems / Ivan S.
Sokolnikoff \\
The theory of prediction / Norbert Wiener \\
The theory of games / H. Frederic Bohnenblust \\
Applied mathematics in operations research / Gilbert W.
King \\
The theory of dynamic programming / Richard Bellman \\
Monte carlo methods / George W. Brown \\
Matrices in engineering / Louis A. Pipes \\
Functional transformations for engineering design /
John L. Barnes \\
Conformal mapping methods / Edwin F. Beckenbach \\
Nonlinear methods / Charles B. Morrey, Jr. \\
What are relaxation methods? / George E. Forsythe \\
Methods of steep descent / Charles B. Tompkins \\
High-speed computing devices and their applications /
Derrick H. Lehmer",
}
