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Number Theory Web
Things of interest to number theorists collected by Keith Matthews.
http://www.numbertheory.org/ntw/
Number Theory Foundation
Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
http://www.math.uiuc.edu/ntf/
Hakmem Continued Fractions
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
Number Theory
Proofs along with equation solvers and graphical views written in Java.
http://www.alpertron.com.ar/NUMBERT.HTM
Linear Independence Measures for Logarithms of Algebraic Numbers
Michel Waldschmidt. Cetraro summer school lectures, July 2000.
http://www.mathp6.jussieu.fr/~miw/articles/cetraro.html
The Work of Robert Langlands
Thesis, papers, manuscripts, letters and bibliography.
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
By Paul Garrett.
http://www.math.umn.edu/~garrett/m/v/
Number Theory Glossary
Compiled by Robert Campbell.
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
Frequently Asked Questions
Number Theory section of the sci.math FAQ list.
http://www.cs.unb.ca/~alopez-o/math-faq/node21.html#SECTION00400000000000000000
Somos Polynomials
Related to Somos sequences and elliptic theta functions.
http://grail.cba.csuohio.edu/~somos/somospol.html
Some Number-Theoretical Constants
Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml
Square-free Gaps
Algorithm and source code for the calculation of square-free numbers and gaps.
http://www.marmet.ca/louis/sqfgap/
L-Functions
Classified by degree, then by level, then by eigenvalue, then by root number.
http://www.math.okstate.edu/~loriw/start/start.html
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.
http://math.usask.ca/fvk/Valth.html
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
Lecture notes by Alain Connes.
http://www.math.ohio-state.edu/connes/Connes_course.html
Summary of Euler's 96 Articles on Number Theory
Part of the Euler Project.
http://www.wcsu.ctstateu.edu/~sandifer/eulernotes/numthry.htm
Somos Sequence Mailing List Archive
Maintained by Jim Propp.
http://www.math.wisc.edu/~propp/bilinear/archive
SeqFan Mailing List
Devoted to the study of integer sequences.
http://www.ccr.jussieu.fr/gmpib/seqfan/
The Canadian Number Theory Association
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
http://members.rogers.com/superprof/cnta.html
2^n Modulo n
Joe Crump's results on values of n with prescribed values of 2^n modulo n.
http://www.spacefire.com/numbertheory/2nmodn.htm
Online Seminar: Galois theory of p-Extensions
Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
http://public.csusm.edu/public/fhajir/kochbook.html
Number Theory
Dave Rusin's guide to number theory.
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
Archives of Number Theory List
Archives of postings to the Number Theory mailing list (NMBRTHRY).
http://listserv.nodak.edu/archives/nmbrthry.html
On-Line Encyclopedia of Integer Sequences
Given an integer sequence, find its name, and formula.
http://www.research.att.com/~njas/sequences/eisonline.html
Introduction to p-Adic Analytic Number Theory
Notes of a short course at the Mehta Research Institute by M. Ram Murty.
http://www.mri.ernet.in/~mathweb/lecture/murty-padic00/
Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients
A web paper by Ronald Bruck.
http://mathlab.usc.edu/~bruck/research/stirling/
MathPages: Number Theory
Kevin Brown's collection of sci.math postings related to number theory topics.
http://www.mathpages.com/home/inumber.htm
MathWorld Number Theory
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
http://mathworld.wolfram.com/topics/NumberTheory.html
About Two Months of Computing
Work on the 196 palindrome problem by Tim Irvin.
http://www.fourmilab.ch/documents/threeyears/two_months_more.html
Fermat's Little Theorem
With notes on Carmichael numbers and the life of R.D. Carmichael.
http://www.geocities.com/Paris/Rue/1861/FermLit.html
Three Years of Computing
Palindrome Quest. Reporting computations on the 196 problem.
http://www.fourmilab.ch/documents/threeyears/threeyears.html
Visible Structures in Number Theory
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
http://www.cecm.sfu.ca/~loki/Papers/Numbers/
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.
http://www.cecm.sfu.ca/projects/IntegerRelations/
The Somos Sequence Site
Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
http://www.math.wisc.edu/~propp/somos.html
numbertheory
Mailing list covering recreational and serious aspects. [Requires free Yahoo membership.]
http://groups.yahoo.com/group/numbertheory
The Arithmetic Properties of Binomial Coefficients
Activated text by Andrew Granville.
http://www.cecm.sfu.ca/organics/papers/granville/index.html
Lehmer's Conjecture
That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
http://www.math.ucla.edu/~mjm/lc/lc.html
World Records for Numerical Palindromes
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
http://www.jasondoucette.com/worldrecords.html
Application of Digital Root
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
http://www.geocities.com/bappan420/
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.
http://www.onr.com/user/russ/david/gauss.html
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).
http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html
Transcendental Numbers
Maple worksheets, lecture notes and links to other resources by John Cosgrove.
http://www.spd.dcu.ie/johnbcos/transcendental_numbers.htm
Other Maths
A wide selection of number theory topics compiled by Jon Perry.
http://www.users.globalnet.co.uk/~perry/maths/othermaths.htm
Klein Polyhedra
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
http://members.lycos.co.uk/keithmbriggs/klein-polyhedra.html
Covers, Sumsets and Zero-sums
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
http://pweb.nju.edu.cn/zwsun/csz.htm
Infinite Series Theorem
Addresses the question whether a series of rational functions converges to a rational number.
http://www.infiniteseriestheorem.org/
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