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. |
Application of Digital Root
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh. |
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. |
Infinite Series Theorem
Addresses the question whether a series of rational functions converges to a rational number. |
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. |
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. |
Linear Independence Measures for Logarithms of Algebraic Numbers
Michel Waldschmidt. Cetraro summer school lectures, July 2000. |
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. |
Number Theory Web
Things of interest to number theorists collected by Keith Matthews. |
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. |
Other Maths
A wide selection of number theory topics compiled by Jon Perry. |
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. |
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 Canadian Number Theory Association
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory. |
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. |
Transcendental Numbers
Maple worksheets, lecture notes and links to other resources by John Cosgrove. |
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
By Paul Garrett. |
Visible Structures in Number Theory
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually. |
World Records for Numerical Palindromes
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette. |
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