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Number Theory
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Algebraic (11)
Analytic (28)
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Computational (14)
Diophantine Equations (47)
Education (13)
Elliptic Curves and Modular Forms (71)
Events (225)
Factoring (58)
History (6)
Open Problems (51)
People (448)
Prime Numbers (81)
Publications (73)
Research Groups (57)
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Tables (29)
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    Science > Math > Geometry > Algebraic Geometry  (121)

Web Pages
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  MathWorld Number Theory http://mathworld.wolfram.com/topics/NumberTheory.html
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
  On-Line Encyclopedia of Integer Sequences http://www.research.att.com/~njas/sequences/
Given an integer sequence, find its name, and formula.
  MathPages: Number Theory http://www.mathpages.com/home/inumber.htm
Kevin Brown's collection of sci.math postings related to number theory topics.
  The Work of Robert Langlands http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
Thesis, papers, manuscripts, letters and bibliography.
  Number Theory http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
Dave Rusin's guide to number theory.
  Number Theory Foundation http://www.math.uiuc.edu/ntf/
Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
  Some Number-Theoretical Constants http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml
Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
  The Valuation Theory Home Page http://math.usask.ca/fvk/Valth.html
A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.
  Number Theory Web http://www.numbertheory.org/ntw/
Things of interest to number theorists collected by Keith Matthews.
  An Introduction to the Theory of Numbers by Leo Moser http://www.trillia.com/moser-number.html
Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.
  Number Theory http://www.alpertron.com.ar/NUMBERT.HTM
Proofs along with equation solvers and graphical views written in Java.
  World Records for Numerical Palindromes http://www.jasondoucette.com/worldrecords.html
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
  Frequently Asked Questions http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html
Number Theory section of the sci.math FAQ list.
  Active Elementary Number Theory http://www.faust.fr.bw.schule.de/mhb/taupaeng.htm
Interactive (Javascript) expression of a number as a sum of two squares.
  Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory http://www.math.umn.edu/~garrett/m/v/
By Paul Garrett.
  Introduction to Bernoulli Numbers http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html
A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).
  Number Theory Glossary http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
Compiled by Robert Campbell.
  Fermat's Little Theorem http://www.pballew.net/FermLit.html
With notes on Carmichael numbers and the life of R.D. Carmichael.
  The Canadian Number Theory Association http://ca.geocities.com/gary.walsh@rogers.com/cnta.html
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
  Klein Polyhedra http://keithbriggs.info/klein-polyhedra.html
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
  Online Seminar: Galois theory of p-Extensions http://public.csusm.edu/public/fhajir/kochbook.html
Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
  Linear Independence Measures for Logarithms of Algebraic Numbers http://www.mathp6.jussieu.fr/~miw/articles/cetraro.html
Michel Waldschmidt. Cetraro summer school lectures, July 2000.
  Covers, Sumsets and Zero-sums http://math.nju.edu.cn/~zwsun/csz.htm
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
  A Mechanical Proof of Quadratic Reciprocity http://www.russinoff.com/papers/gauss.html
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.
  Infinite Series Theorem http://www.infiniteseriestheorem.org/
Addresses the question whether a series of rational functions converges to a rational number.
  Integer Relations http://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/
To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.
  Transcendental Numbers http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm
Maple worksheets, lecture notes and links to other resources by John Cosgrove.
  Somos Polynomials http://grail.cba.csuohio.edu/~somos/somospol.html
Related to Somos sequences and elliptic theta functions.
  Square-free Gaps http://www.marmet.org/louis/sqfgap/index.html
Algorithm and source code for the calculation of square-free numbers and gaps.
  Hakmem Continued Fractions http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
  Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function http://www.math.ohio-state.edu/lectures/connes/Connes_course.html
Lecture notes by Alain Connes.
  Some Highlights of Arithmetic Combinatorics http://www.math.ucla.edu/~tao/254a.1.03w/
Lecture notes and resources on combinatorial number theory by Terence Tao.
  Lehmer's Conjecture http://www.cecm.sfu.ca/~mjm/Lehmer/lc.html
That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
  The Arithmetic Properties of Binomial Coefficients http://www.cecm.sfu.ca/organics/papers/granville/index.html
Activated text by Andrew Granville.
  Application of Digital Root http://www.geocities.com/bappan420/
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
  Visible Structures in Number Theory http://www.cecm.sfu.ca/~loki/Papers/Numbers/
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.

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