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