Number theory addresses problems about integer and rational numbers. It includes congruences, divisibility, primes, and Fermat's Last Theorem.

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### Sites 29

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.

The Arithmetic Properties of Binomial Coefficients

Activated text by Andrew Granville.

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).

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.

LMFDB

A handbook including tables, formulas, links, and references for L-functions and the underlying objects.

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.

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.

The On-Line Encyclopedia of Integer Sequences (OEIS)

Given an integer sequence, find its name, and formula.

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.

The Somos Sequence Site

Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.

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.

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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