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  • Other Maths
    A wide selection of number theory topics compiled by Jon Perry.
    http://www.users.globalnet.co.uk/~perry/maths/othermaths.htm
  • Some Highlights of Arithmetic Combinatorics
    Lecture notes and resources on combinatorial number theory by Terence Tao.
    http://www.math.ucla.edu/~tao/254a.1.03w/
  • 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
  • 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
  • On-Line Encyclopedia of Integer Sequences
    Given an integer sequence, find its name, and formula.
    http://www.research.att.com/~njas/sequences/
  • 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/
  • Number Theory Glossary
    Compiled by Robert Campbell.
    http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
  • Somos Polynomials
    Related to Somos sequences and elliptic theta functions.
    http://grail.cba.csuohio.edu/~somos/somospol.html
  • 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
  • Visible Structures in Number Theory
    By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
    http://www.cecm.sfu.ca/~loki/Papers/Numbers/
  • The Work of Robert Langlands
    Thesis, papers, manuscripts, letters and bibliography.
    http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.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
  • Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
    By Paul Garrett.
    http://www.math.umn.edu/~garrett/m/v/
  • 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
  • Square-free Gaps
    Algorithm and source code for the calculation of square-free numbers and gaps.
    http://www.marmet.ca/louis/sqfgap/
  • Transcendental Numbers
    Maple worksheets, lecture notes and links to other resources by John Cosgrove.
    http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm
  • Number Theory
    Dave Rusin's guide to number theory.
    http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
  • Number Theory
    Proofs along with equation solvers and graphical views written in Java.
    http://www.alpertron.com.ar/NUMBERT.HTM
  • Fermat's Little Theorem
    With notes on Carmichael numbers and the life of R.D. Carmichael.
    http://www.pballew.net/FermLit.html
  • Frequently Asked Questions
    Number Theory section of the sci.math FAQ list.
    http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html
  • 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
  • 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
  • The Canadian Number Theory Association
    A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
    http://ca.geocities.com/gary.walsh@rogers.com/cnta.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/
  • The Arithmetic Properties of Binomial Coefficients
    Activated text by Andrew Granville.
    http://www.cecm.sfu.ca/organics/papers/granville/index.html
  • Infinite Series Theorem
    Addresses the question whether a series of rational functions converges to a rational number.
    http://www.infiniteseriestheorem.org/
  • 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://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/
  • 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
  • Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
    Lecture notes by Alain Connes.
    http://www.math.ohio-state.edu/lectures/connes/Connes_course.html
  • 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
  • L-Functions
    Classified by degree, then by level, then by eigenvalue, then by root number.
    http://www.math.okstate.edu/~loriw/start/start.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
  • Lehmer's Conjecture
    That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
    http://www.cecm.sfu.ca/~mjm/Lehmer/lc.html
  • Active Elementary Number Theory
    Interactive (Javascript) expression of a number as a sum of two squares.
    http://www.faust.fr.bw.schule.de/mhb/taupaeng.htm

 

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