Number Theory ...

Electronic preprint archives for mathematics research papers in algebraic number theory and arithmetic geometry.

NTL: A Library for doing Number Theory NTL is a high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields. A Tour of NTL Download NTL Trouble-shooting guide Contact Info and Mailing Lists Related Links Now available: NTL 5.2 Back to Victor ...

Welcome, dear reader, to The Valuation Theory Home Page This home page is intended to be a forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. The home page offers: information about conferences and special events, names and email addresses of mathematicians working in or with valuation theory, and, if possible, links ...

Information and resources pertaining to number theory.

The work of Robert Langlands Robert P. Langlands was born in New Westminster, British Columbia, in 1936. He graduated from the University of British Columbia with an undergraduate degree in 1957 and an M.Sc. in 1958, and from Yale University with a Ph.D. in 1960. He has held faculty positions at Princeton University and Yale University, and is currently a Professor at the Institute for Advanced ...

Archives of NMBRTHRY@LISTSERV.NODAK.EDU Number Theory List Search the archives Post to the list Join or leave the list (or change settings) Manage the list (list owners only) August 2002 July 2002 June 2002 May 2002 April 2002 March 2002 February 2002 January 2002 December 2001 November 2001 October 2001 September 2001 August 2001 July 2001 June 2001 May 2001 April 2001 March 2001 February 2001 ...

Topics in Mathematics Number Theory Absolute Primes ADD. KEYWORDS: Article, Repunits SOURCE: Arkadii Slinko, University of Auckland and Mathematics Olympiad Learning Centre TECHNOLOGY: Adobe Acrobat Reader Aesthetics of the Prime Sequence Algorithmic Number Theory - Bibliography AMS - Fermat's Last Theorem ADD. KEYWORDS: Number theory, Fermat's Last Theorem, History, Reports, Articles AMS's ...

Millennial Conference on Number Theory May 21 - 26, 2000 University of Illinois at Urbana-Champaign Conference Wrap-Up Group Photo (jpeg file ) List of Participants (ps file ) Titles of Talks (ps file ) Abstracts (ps file ) Abstracts in html format (from AMCA abstract server) Conference Program Second announcement First announcement Conference statistics A total of 276 participants have ...

Palindrome Quest: Three Years Of Computing ...

Reciprocity Laws Reciprocity Laws. From Euler to Eisenstein has just appeared in Springer-Verlag Heidelberg. It is an updated version of Chapters 1 - 11 as they were available on this page for some time: here's the actual table of contents with ps and pdf file of Chapter 11 (corrected version), and I also have prepared a description of the content with a few examples. A table of errata is ...

Vignettes on automorphic forms, representations, L-functions, and number theory this page updated 20 Jul 02 ( Also: ... ... ) Hartogs' theorem that separate analyticity implies joint analyticity. Used in reduction of the non-maximal parabolic case to the maximal parabolic case in treatment of Eisenstein series, and in the proof (for the Selberg-Bernstein argument for meromorphic continuation) ...

Number Theory Is e Normal Identities for Linear Recurring Sequences The Half-Totient Tree Symmetric Pseudoprimes Primes of the Form 2^(k-1) + k Limit Cycles of xy (mod x+y) A Knot of Congruences Rounding Up to PI Fermat's Last Theorem for Cubes Digit Reversal Sums Leading to Palindromes Self-Similar Reverse-Sum Sequences N Plus the Prime Factors of N Sequence Partitionable Into Powers of 2 or 3 ...

Visible Structures in Number Theory ...

Some number-theoretical constants arising as products of rational functions of p over primes In September 1999, Pieter Moree asked me to help with high-precision calculations of some constants arising in various contexts in elementary and analytic number theory. PARI/GP running on a few 333 and 360MHz UltraSPARC-IIi(tm) CPUs soon made short work of them. We pushed the calculations to just beyond ...

Jason Doucette's Resume Homepage, World Records for Interesting Mathematical Patterns involving Numerical Palindromes, Yarmouth Co., Nova Scotia, Canada.

Palindrome Quest: Three Years Of Computing ...

The Arithmetic Properties of Binomial Coefficients Andrew Granville Department of Mathematics University of Georgia Athens, GA Mathactivated text Other available formats Related links Author biography Abstract: Many great mathematicians of the nineteenth century considered problems involving binomial coefficients modulo a prime power (for instance Babbage, Cauchy, Cayley, Gauss, Hensel, Hermite, ...

The SeqFan Mailing List French version of this page This page serves as home for the SeqFan mailing list, a club devoted to the study of integer sequences. It is still in construction. Look it up regularly for new topics and informations. It is now mirrored there. What is it A mailing list for FANs of Integer SEQuences. It is bilingual french/english. In french, we worked out an acronym: ...

Information and resources pertaining to number theory.

Number Theory Glossary Abelian Group An abelian group is a group whose operation is commutative, ie a*b=b*a . An example of an abelian group is the integers with the usual addition operation. An example of a group which is not abelian is the rotations of a cube (try it out). When dealing with an abelian group is it conventional to denote the group operation as addition (+), rather than ...

Somos Polynomials Define a sequence with: S(1) = x , S(2) = S(3) = 1 , S(4) = y , S(n) = x*y*z*(S(n-1)*S(n-3)+S(n-2)^2)/S(n-4) if n 4 . The first observation is that this definition does produce polynomials with positive integer coefficients in the three indeterminates x , y , z. The proof is by induction. Another observation is that S(n) can be easily extended to n 1 so that it still ...

Concepts in number theory, with associated theorems.

Jacques-Olivier Moussafir CEREMADE Universite Paris 9 - Dauphine 75116 Place du Marechal de Lattre de Tassigny email : msfr@ceremade.dauphine.fr Sur cette page vous trouverez quelques articles, ma th se, quelques images de voiles, du code C++ (lisible et utilisable j'esp re), des liens vers d'autres codes utiles, quelques references bibliographiques, et quelques feuilles d'exercices. La page du ...