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Top > Science > Math > Number Theory 


MathPages: Number Theory  Kevin Brown's collection of sci.math postings related to number theory topics. Number Theory  Dave Rusin's guide to number theory. Introduction to Number Theory  Lecture notes by X.D. Jia, Southwest Texas State, 1996. Archives of Number Theory List  Archives of postings to the Number Theory mailing list (NMBRTHRY). OnLine Encyclopedia of Integer Sequences  Given an integer sequence, find its name, formula, etc. Reciprocity Laws  Franz Lemmermeyer's online book on reciprocity laws, with bibliography and proofs of quadratic reciprocity. Three Years of Computing  Palindrome Quest. Reporting computations on the 196 problem. Implementations of Extended LLL  Links and notes by Wilberd van der Kallen. Lecture Notes on Elementary Number Theory  By John Cremona, University of Nottingham (PDF, PS). Visible Structures in Number Theory  By Peter Borwein and Loki Jörgenson. Recognising number patterns visually. Paul Garrett's Lecture Notes  With exercises and course material. Topics include Algebraic Number Theory; Automorphic (Modular) Forms, Representations, Lfunctions. Integer Relations  To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email. The Somos Sequence Site  Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences. numbertheory  Mailing list covering recreational and serious aspects. [Requires free Yahoo membership.] Introduction to Number Theory  Lecture notes by Franz Lemmermeyer, Heidelberg (PDF). The Idelic Approach to Number Theory  Notes by Tom Weston of a course at Harvard by Barry Mazur (DVI). A Selflearning Package in Elementary Number Theory  By YuiKin Ng, KingShun Leung and YiuKwong Man: Hong Kong Institute of Education. Report on the design and implementation. The Arithmetic Properties of Binomial Coefficients  Activated text by Andrew Granville. Lehmer's Conjecture  That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA. Elementary Number Theory  Lecture notes by Nigel Byott, Exeter (DVI,PDF,PS). Lecture Notes by John Cosgrave  Courses in Number Theory at St Patrick's College, Dublin. The Work of Robert Langlands  Thesis, papers, manuscripts, letters and bibliography. Number Theory Foundation  Aims to collect donations from supporters of number theory and to disburse these donations to encourage research. Algorithm Design Manual  Number Theoretic Algorithms  A chapter from "The Algorithm Design Manual" by Steven S. Skiena. Basics of Computational Number Theory  Notes and Javascript illustrations by Robert Campbell. Notes on Elementary Number Theory  By Bruce Ikenaga, Millersville University (PS). Vignettes on Automorphic and Modular forms, Representations, Lfunctions, and Number Theory  By Paul Garrett. Number Theory Glossary  Compiled by Robert Campbell. Complete Analysis of the Binary GCD Algorithm  Lecture notes by Brigitte Vallée, Université de Caen, April, 1998. Computational Number Theory  Lecture notes by Robert Campbell, December 1997. Frequently Asked Questions  Number Theory section of the sci.math FAQ list. Somos Polynomials  Related to Somos sequences and elliptic theta functions. Some NumberTheoretical Constants  Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree. Squarefree Gaps  Algorithm and source code for the calculation of squarefree numbers and gaps. Elementary Number Theory  Lecture notes by Michael Filaseta, 1997. LFunctions  Classified by degree, then by level, then by eigenvalue, then by root number. The LLL Algorithm  Papers on the LLL algorithm and its applications collected by François Koeune. LLL Page  Maintained by Keith Matthews. Seva Lev's Problem Page  A collection of research problems. Elementary Number Theory  A Lightning Course  Notes by Jeremy Teitelbaum. Computational Projects in Number Theory  Interesting problems, usually requiring extensive verifications or enumerations, to occupy the idle CPU time of workstations and personal computers. Compiled by Tomás Oliveira e Silva. The Valuation Theory Home Page  A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. Number Theory Links  A collection at geometry.net. Mathematics Archives  Topics in number theory. Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function  Lecture notes by Alain Connes. Expositions and Notes  Topics in Sieve Theory and Combinatorial Number Theory. Ben Green, Trinity College, Cambridge. Visible Euclidean Algorithm  Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm. Summary of Eulers 96 Articles on Number Theory  Part of the Euler Project. Using Mathematica in a Course on Number Theory  By Kenneth Kramer, Queens College (CUNY). Abstract with text in PDF. Generalized Continued Fractions  Overview of generalized continued fractions, sails and Klein polyhedra. Software, papers, pictures and links. Suggested Readings in Algorithmic Number Theory  Provided by the organizers of the MSRI Fall 2000 program in Algorithmic number theory. Somos Sequence Mailing List Archive  Maintained by Jim Propp. Course Notes for Elementary and Algebraic Number Theory  By Ivan Fesenko, University of Nottingham. PS, PDF. SeqFan Mailing List  Devoted to the study of integer sequences. The Canadian Number Theory Association  A loosely defined group of individuals, mainly in Canada, active in research in Number Theory. 2^n Modulo n  Joe Crump's results on values of n with prescribed values of 2^n modulo n. Elementary and Analytic Number Theory  Lecture notes by William Chen (PDF). NumbersWithNames  A program for exploring and making conjectures about interesting sequences using data from the Encylopedia of Integer Sequences. Online Seminar: Galois theory of pExtensions  Email seminar on "Galoissche Theorie der pErweiterungen" by Helmut Koch. Introduction to pAdic Analytic Number Theory  Notes of a short course at the Mehta Research Institute by M. Ram Murty. Introductory Number Theory  Lecture Notes by Don Rideout, Memorial University of Newfoundland. PDF and Maple worksheets. CLINT  Hugh Montgomery's Computational Laboratories in Number Theory. TeX files and Pascal source code. The Fifth Arithmetical Operation.  A novel look at continued fractions and other numerical processes.

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