Number Theory


Web Directory : Science : Math : Number Theory
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  • Publications (67)
  • Research Groups (55)
  • Software (56)
  • Tables (27)

  • Algebraic (11)
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  • Diophantine Equations (42)
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  • Elliptic Curves and Modular Forms (65)
  • Factoring (48)
  • Prime Numbers (73)

  • 34 pages found in Number Theory:

    Active Elementary Number Theory
    Interactive (Javascript) expression of a number as a sum of two squares.
    http://www.hbmeyer.de/taupaeng.htm

    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

    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

    Covers, Sumsets and Zero-sums
    A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
    http://math.nju.edu.cn/~zwsun/csz.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

    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/

    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

    An Introduction to the Theory of Numbers by Leo Moser
    Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.
    http://www.trillia.com/moser-number.html

    Klein Polyhedra
    Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
    http://keithbriggs.info/klein-polyhedra.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

    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

    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.russinoff.com/papers/gauss.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

    Number Theory
    Proofs along with equation solvers and graphical views written in Java.
    http://www.alpertron.com.ar/NUMBERT.HTM

    Number Theory
    Dave Rusin's guide to number theory.
    http://www.math.niu.edu/~rusin/known-math/index/11-XX.html

    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

    On-Line Encyclopedia of Integer Sequences
    Given an integer sequence, find its name, and formula.
    http://www.research.att.com/~njas/sequences/

    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

    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

    Somos Polynomials
    Related to Somos sequences and elliptic theta functions.
    http://grail.cba.csuohio.edu/~somos/somospol.html

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

    Transcendental Numbers
    Maple worksheets, lecture notes and links to other resources by John Cosgrove.
    http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm

    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

    Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
    By Paul Garrett.
    http://www.math.umn.edu/~garrett/m/v/

    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


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