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Number Theory

Science > Math > Number Theory

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Prime Numbers (84)
Publications (68)
Research Groups (55)
Software (58)
Tables (27)

Web Pages

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	On-Line Encyclopedia of Integer Sequences - http://www.research.att.com/~njas/sequences/ Given an integer sequence, find its name, and formula.
	MathWorld Number Theory - http://mathworld.wolfram.com/topics/NumberTheory.html Index to articles in Eric Weisstein's MathWorld in the area of number theory.
	Number Theory Web - http://www.numbertheory.org/ntw/ Things of interest to number theorists collected by Keith Matthews.
	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 Foundation - http://www.math.uiuc.edu/ntf/ Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.

	Number Theory - http://www.math.niu.edu/~rusin/known-math/index/11-XX.html Dave Rusin's guide to number theory.
	The Work of Robert Langlands - http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html Thesis, papers, manuscripts, letters and bibliography.
	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.
	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.
	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.

	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.
	Number Theory - http://www.alpertron.com.ar/NUMBERT.HTM Proofs along with equation solvers and graphical views written in Java.
	L-Functions - http://www.lfunctions.org/start/start.html Classified by degree, then by level, then by eigenvalue, then by root number.
	Frequently Asked Questions - http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html Number Theory section of the sci.math FAQ list.
	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).

	Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory - http://www.math.umn.edu/~garrett/m/v/ By Paul Garrett.
	World Records for Numerical Palindromes - http://www.jasondoucette.com/worldrecords.html The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
	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.
	The Somos Sequence Site - http://faculty.uml.edu/jpropp/somos.html Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
	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.
	Active Elementary Number Theory - http://www.hbmeyer.de/taupaeng.htm Interactive (Javascript) expression of a number as a sum of two squares.
	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.
	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.
	Number Theory Glossary - http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html Compiled by Robert Campbell.

	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.
	Square-free Gaps - http://www.marmet.org/louis/sqfgap/index.html Algorithm and source code for the calculation of square-free numbers and gaps.
	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.
	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.

	MathPages: Number Theory - http://www.mathpages.com/home/inumber.htm Kevin Brown's collection of sci.math postings related to number theory topics.
	Visible Structures in Number Theory - http://www.cecm.sfu.ca/~loki/Papers/Numbers/ By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
	The Arithmetic Properties of Binomial Coefficients - http://www.cecm.sfu.ca/organics/papers/granville/index.html Activated text by Andrew Granville.
	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.
	Somos Polynomials - http://grail.cba.csuohio.edu/~somos/somospol.html Related to Somos sequences and elliptic theta functions.

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.

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