Subdirectories of Number Theory:
Categories related to Number Theory : Math : Science: Science: Math: Geometry: Algebraic Geometry (107) Websites on Number Theory: * Number Theory Web Things of interest to number theorists collected by Keith Matthews. 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. 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. 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). An Introduction to the Theory of Numbers by Leo Moser Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers. Klein Polyhedra Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs. Lehmer's Conjecture That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA. 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. A Mechanical Proof of Quadratic Reciprocity A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Quadratic Reciprocity. PS/PDF. Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function Lecture notes by Alain Connes. Number Theory Dave Rusin's guide to number theory. Number Theory Dave Rusin's guide to number theory. 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. 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. Transcendental Numbers Maple worksheets, lecture notes and links to other resources by John Cosgrove. 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. 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. The Work of Robert Langlands Thesis, papers, manuscripts, letters and bibliography. World Records for Numerical Palindromes The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
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