Number Theory Web:Things of interest to number theorists collected by Keith Matthews.
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.
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).
Klein Polyhedra: Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
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: Dave Rusin's guide to number theory.
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.