MathPages: Number Theory - Kevin Brown's collection of sci.math postings related to number theory topics.

Number Theory - Dave Rusin's guide to number theory.

Introduction to Number Theory - Lecture notes by X.-D. Jia, Southwest Texas State, 1996.

Archives of Number Theory List - Archives of postings to the Number Theory mailing list (NMBRTHRY).

On-Line Encyclopedia of Integer Sequences - Given an integer sequence, find its name, formula, etc.

Reciprocity Laws - Franz Lemmermeyer's on-line book on reciprocity laws, with bibliography and proofs of quadratic reciprocity.

Three Years of Computing - Palindrome Quest. Reporting computations on the 196 problem.

Implementations of Extended LLL - Links and notes by Wilberd van der Kallen.

Lecture Notes on Elementary Number Theory - By John Cremona, University of Nottingham (PDF, PS).

Visible Structures in Number Theory - By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.

Paul Garrett's Lecture Notes - With exercises and course material. Topics include Algebraic Number Theory; Automorphic (Modular) Forms, Representations, L-functions.

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.

The Somos Sequence Site - Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.

numbertheory - Mailing list covering recreational and serious aspects. [Requires free Yahoo membership.]

Introduction to Number Theory - Lecture notes by Franz Lemmermeyer, Heidelberg (PDF).

The Idelic Approach to Number Theory - Notes by Tom Weston of a course at Harvard by Barry Mazur (DVI).

A Self-learning Package in Elementary Number Theory - By Yui-Kin Ng, King-Shun Leung and Yiu-Kwong Man: Hong Kong Institute of Education. Report on the design and implementation.

The Arithmetic Properties of Binomial Coefficients - Activated text by Andrew Granville.

Lehmer's Conjecture - That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.

Elementary Number Theory - Lecture notes by Nigel Byott, Exeter (DVI,PDF,PS).

Lecture Notes by John Cosgrave - Courses in Number Theory at St Patrick's College, Dublin.

The Work of Robert Langlands - Thesis, papers, manuscripts, letters and bibliography.

Number Theory Foundation - Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.

Algorithm Design Manual - Number Theoretic Algorithms - A chapter from "The Algorithm Design Manual" by Steven S. Skiena.

Basics of Computational Number Theory - Notes and Javascript illustrations by Robert Campbell.

Notes on Elementary Number Theory - By Bruce Ikenaga, Millersville University (PS).

Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory - By Paul Garrett.

Number Theory Glossary - Compiled by Robert Campbell.

Complete Analysis of the Binary GCD Algorithm - Lecture notes by Brigitte Vallée, Université de Caen, April, 1998.

Computational Number Theory - Lecture notes by Robert Campbell, December 1997.

Frequently Asked Questions - Number Theory section of the sci.math FAQ list.

Somos Polynomials - Related to Somos sequences and elliptic theta functions.

Some Number-Theoretical Constants - Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.

Square-free Gaps - Algorithm and source code for the calculation of square-free numbers and gaps.

Elementary Number Theory - Lecture notes by Michael Filaseta, 1997.

L-Functions - Classified by degree, then by level, then by eigenvalue, then by root number.

The LLL Algorithm - Papers on the LLL algorithm and its applications collected by François Koeune.

LLL Page - Maintained by Keith Matthews.

Seva Lev's Problem Page - A collection of research problems.

Elementary Number Theory -- A Lightning Course - Notes by Jeremy Teitelbaum.

Computational Projects in Number Theory - Interesting problems, usually requiring extensive verifications or enumerations, to occupy the idle CPU time of workstations and personal computers. Compiled by Tomás Oliveira e Silva.

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.

Number Theory Links - A collection at geometry.net.

Mathematics Archives - Topics in number theory.

Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function - Lecture notes by Alain Connes.

Expositions and Notes - Topics in Sieve Theory and Combinatorial Number Theory. Ben Green, Trinity College, Cambridge.

Visible Euclidean Algorithm - Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.

Summary of Eulers 96 Articles on Number Theory - Part of the Euler Project.

Using Mathematica in a Course on Number Theory - By Kenneth Kramer, Queens College (CUNY). Abstract with text in PDF.

Generalized Continued Fractions - Overview of generalized continued fractions, sails and Klein polyhedra. Software, papers, pictures and links.

Suggested Readings in Algorithmic Number Theory - Provided by the organizers of the MSRI Fall 2000 program in Algorithmic number theory.

Somos Sequence Mailing List Archive - Maintained by Jim Propp.

Course Notes for Elementary and Algebraic Number Theory - By Ivan Fesenko, University of Nottingham. PS, PDF.

SeqFan Mailing List - Devoted to the study of integer sequences.

The Canadian Number Theory Association - A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.

2^n Modulo n - Joe Crump's results on values of n with prescribed values of 2^n modulo n.

Elementary and Analytic Number Theory - Lecture notes by William Chen (PDF).

NumbersWithNames - A program for exploring and making conjectures about interesting sequences using data from the Encylopedia of Integer Sequences.

Online Seminar: Galois theory of p-Extensions - Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.

Introduction to p-Adic Analytic Number Theory - Notes of a short course at the Mehta Research Institute by M. Ram Murty.

Introductory Number Theory - Lecture Notes by Don Rideout, Memorial University of Newfoundland. PDF and Maple worksheets.

CLINT - Hugh Montgomery's Computational Laboratories in Number Theory. TeX files and Pascal source code.

The Fifth Arithmetical Operation. - A novel look at continued fractions and other numerical processes.