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Number Theory

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» Active Elementary Number Theory - Interactive (Javascript) expression of a number as a sum of two squares. » Application of Digital Root - A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh. » Covers, Sumsets and Zero-sums - A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun. » Fermat's Little Theorem - With notes on Carmichael numbers and the life of R.D. Carmichael. » Frequently Asked Questions - Number Theory section of the sci.math FAQ list. » Hakmem Continued Fractions - Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic. » Infinite Series Theorem - Addresses the question whether a series of rational functions converges to a rational number. » 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. » Introduction to Bernoulli Numbers - A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS). » L-Functions - Classified by degree, then by level, then by eigenvalue, then by root number. » Lehmer's Conjecture - That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA. » Linear Independence Measures for Logarithms of Algebraic Numbers - Michel Waldschmidt. Cetraro summer school lectures, July 2000. » MathPages: Number Theory - Kevin Brown's collection of sci.math postings related to number theory topics. » MathWorld Number Theory - Index to articles in Eric Weisstein's MathWorld in the area of number theory. » Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function - Lecture notes by Alain Connes. » Number Theory - Proofs along with equation solvers and graphical views written in Java. » Number Theory Foundation - Aims to collect donations from supporters of number theory and to disburse these donations to encourage research. » Number Theory Glossary - Compiled by Robert Campbell. » On-Line Encyclopedia of Integer Sequences - Given an integer sequence, find its name, and formula. » Online Seminar: Galois theory of p-Extensions - Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch. » Other Maths - A wide selection of number theory topics compiled by Jon Perry. » Some Highlights of Arithmetic Combinatorics - Lecture notes and resources on combinatorial number theory by Terence Tao. » Some Number-Theoretical Constants - Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree. » Somos Polynomials - Related to Somos sequences and elliptic theta functions. » Square-free Gaps - Algorithm and source code for the calculation of square-free numbers and gaps. » The Arithmetic Properties of Binomial Coefficients - Activated text by Andrew Granville. » The Canadian Number Theory Association - A loosely defined group of individuals, mainly in Canada, active in research in Number Theory. » The Somos Sequence Site - Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences. » 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. » The Work of Robert Langlands - Thesis, papers, manuscripts, letters and bibliography. » Transcendental Numbers - Maple worksheets, lecture notes and links to other resources by John Cosgrove. » Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory - By Paul Garrett. » Visible Structures in Number Theory - By Peter Borwein and Loki Jörgenson. Recognising number patterns visually. » World Records for Numerical Palindromes - The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.

Last Updated: 2007-04-05 11:39:26