Number Theory
Number Theory Links
- Number Theory Web Things of interest to number theorists collected by Keith Matthews
- Introduction to Number Theory Lecture notes by Franz Lemmermeyer, Heidelberg (PDF).
- Lecture Notes on Elementary Number Theory By John Cremona, University of Nottingham (PDF, PS).
- 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.
- Somos Sequence Mailing List Archive Maintained by Jim Propp.
- L-Functions Classified by degree, then by level, then by eigenvalue, then by root number.
- Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function Lecture notes by Alain Connes.
- Using Mathematica in a Course on Number Theory By Kenneth Kramer, Queens College (CUNY). Abstract with text in PDF.
- Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory By Paul Garrett.
- Number Theory Dave Rusin's guide to number theory.
- Notes on Elementary Number Theory By Bruce Ikenaga, Millersville University (PS).
- On-Line Encyclopedia of Integer Sequences Given an integer sequence, find its name, formula, etc.
- Algorithm Design Manual - Number Theoretic Algorithms A chapter from "The Algorithm Design Manual" by Steven S. Skiena.
- Generalized Continued Fractions Overview of generalized continued fractions, sails and Klein polyhedra. Software, papers, pictures and links.
- MathPages: Number Theory Kevin Brown's collection of sci.math postings related to number theory topics.
- Visible Euclidean Algorithm Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.
- Number Theory Links A collection at geometry.net.
- Basics of Computational Number Theory Notes and Javascript illustrations by Robert Campbell.
- 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.
- Reciprocity Laws Franz Lemmermeyer's on-line book on reciprocity laws, with bibliography and proofs of quadratic reciprocity.
- Archives of Number Theory List Archives of postings to the Number Theory mailing list (NMBRTHRY).
- NFSNET A project to factor numbers with the Number Field Sieve.
- Paul Garrett's Lecture Notes With exercises and course material. Topics include Algebraic Number Theory; Automorphic (Modular) Forms, Representations, L-functions.
- Frequently Asked Questions Number Theory section of the sci.math FAQ list.
- 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.
- Elementary and Analytic Number Theory Lecture notes by William Chen (PDF).
- Elementary Number Theory Lecture notes by Michael Filaseta, 1997.
- The Idelic Approach to Number Theory Notes by Tom Weston of a course at Harvard by Barry Mazur (DVI).
- Seva Lev's Problem Page A collection of research problems.
- Introduction to Number Theory Lecture notes by X.-D. Jia, Southwest Texas State, 1996.
- Mathematics Archives Topics in number theory.
- Elementary Number Theory -- A Lightning Course Notes by Jeremy Teitelbaum.
- The Work of Robert Langlands Thesis, papers, manuscripts, letters and bibliography.
- Visible Structures in Number Theory By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
- numbertheory Mailing list covering recreational and serious aspects. [Requires free Yahoo membership.]
- Number Theory Glossary Compiled by Robert Campbell.
- 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.
- Lehmer's Conjecture That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
- Online Seminar: Galois theory of p-Extensions Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
- Computational Number Theory Lecture notes by Robert Campbell, December 1997.
- Summary of Eulers 96 Articles on Number Theory Part of the Euler Project.
- The LLL Algorithm Papers on the LLL algorithm and its applications collected by François Koeune.
- The Somos Sequence Site Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
- Number Theory Foundation Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
- Expositions and Notes Topics in Sieve Theory and Combinatorial Number Theory. Ben Green, Trinity College, Cambridge.
- SeqFan Mailing List Devoted to the study of integer sequences.
- 2^n Modulo n Joe Crump's results on values of n with prescribed values of 2^n modulo n.
- Implementations of Extended LLL Links and notes by Wilberd van der Kallen.
- The Fifth Arithmetical Operation. A novel look at continued fractions and other numerical processes.
- Three Years of Computing Palindrome Quest. Reporting computations on the 196 problem.
- Math Online An eclectic collection, mainly in number theory.
- LLL Page Maintained by Keith Matthews.
- 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.
- Somos Polynomials Related to Somos sequences and elliptic theta functions.
- Suggested Readings in Algorithmic Number Theory Provided by the organizers of the MSRI Fall 2000 program in Algorithmic number theory.
- The Canadian Number Theory Association A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
- Complete Analysis of the Binary GCD Algorithm Lecture notes by Brigitte Vallée, Université de Caen, April, 1998.
- Lecture Notes by John Cosgrave Courses in Number Theory at St Patrick's College, Dublin.
- Some Number-Theoretical Constants Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
- Elementary Number Theory Lecture notes by Nigel Byott, Exeter (DVI,PDF,PS).
| Help build the largest human-edited directory on the web. |
| Submit a Site - Open Directory Project - Become an Editor |