Phy.org - Science: Math: Number Theory

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.
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.
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.
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.
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.
Some Highlights of Arithmetic Combinatorics - Lecture notes and resources on combinatorial number theory by Terence Tao.
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 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.
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory - By Paul Garrett.
World Records for Numerical Palindromes - The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.

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