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- 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
Proofs along with equation solvers and graphical views written in Java. - 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" target="_blank" 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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