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 Arithmetic Properties of Binomial Coefficients - Activated text by Andrew Granville. 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. Somos Polynomials - Related to Somos sequences and elliptic theta functions. MathPages: Number Theory - Articles by Kevin Brown on various topics in number theory. MathWorld Number Theory - Index to articles in Eric Weisstein's MathWorld in the area of number theory. World Records for Numerical Palindromes - The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette. Number Theory Web - Things of interest to number theorists collected by Keith Matthews. Hakmem Continued Fractions - Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic. Number Theory - Proofs along with equation solvers and graphical views written in Java. 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). Some Highlights of Arithmetic Combinatorics - Lecture notes and resources on combinatorial number theory by Terence Tao. 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. Lehmer's Conjecture - That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA. Covers, Sumsets and Zero-sums - A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun. Klein Polyhedra - Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs. 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. 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. Square-free Gaps - Algorithm and source code for the calculation of square-free numbers and gaps. Active Elementary Number Theory - Interactive (Javascript) expression of a number as a sum of two squares. The Somos Sequence Site - Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences. The On-Line Encyclopedia of Integer Sequences (OEIS) - Given an integer sequence, find its name, and formula. Some Number-Theoretical Constants - Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree. Visible Structures in Number Theory - By Peter Borwein and Loki Jörgenson. Recognising number patterns visually. Transcendental Numbers - Maple worksheets, lecture notes and links to other resources by John Cosgrove. LMFDB - A handbook including tables, formulas, links, and references for L-functions and the underlying objects. Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function - Lecture notes by Alain Connes.