Diophantine Equations

Web Directory : Science : Math : Number Theory : Diophantine Equations
  • Equal Sums of Like Powers (8)
    		•  
  • Fermat's Last Theorem (15)
    • 19 pages found in Diophantine Equations:

    Bibliography on Hilbert's Tenth Problem
    Searchable, 400 items.
    http://liinwww.ira.uka.de/bibliography/Math/Hilbert10.html

    Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n
    Methods to solve these equations.
    http://oas.ucok.edu/OJAS/98/T98/THIENDO.HTM

    Diagonal Quartic Surfaces
    Articles, computations and software in Magma and GP by Martin Bright.
    http://www.boojum.org.uk/maths/quartic-surfaces/

    Diophantine Geometry in Characteristic p
    A survey by José Felipe Voloch.
    http://www.ma.utexas.edu/users/voloch/surveylatex/surveylatex.html

    Diophantine m-tuples
    Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella.
    http://www.math.hr/~duje/dtuples.html

    Diophantus Quadraticus
    On-line Pell Equation solver by Michael Zuker.
    http://www.bioinfo.rpi.edu/~zukerm/cgi-bin/dq.html

    Egyptian Fractions
    Lots of information about Egyptian fractions collected by David Eppstein.
    http://www.ics.uci.edu/~eppstein/numth/egypt/

    The Erdos-Strauss Conjecture
    The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett.
    http://math.uindy.edu/swett/esc.htm

    Hilbert's Tenth Problem
    Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.
    http://logic.pdmi.ras.ru/Hilbert10/

    Hilbert's Tenth Problem
    Given a Diophantine equation with any number of unknowns and with rational integer coefficients: devise a process, which could determine by a finite number of operations whether the equation is solvable in rational integers.
    http://www.ltn.lv/~podnieks/gt4.html

    Linear Diophantine Equations
    A web tool for solving Diophantine equations of the form ax + by = c.
    http://www.thoralf.uwaterloo.ca/htdocs/linear.html

    Pell's Equation
    Record solutions.
    http://www.ieeta.pt/~tos/pell.html

    Pythagorean Triples Etcetera
    A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles.
    http://www.geocities.com/fredlb37/

    Pythagorean Triples in JAVA
    A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.
    http://www.hbnweb.de/pythagoras/pythagoras.html

    Pythagorean Triplets
    A Javascript calculator for pythagorean triplets.
    http://www.hbmeyer.de/pythagen.htm

    Quadratic Diophantine Equation Solver
    Dario Alpern's Java/JavaScript code that solves Diophantine equations of the form Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 in two selectable modes: "solution only" and "step by step" (or "teach") mode. There is also a link to his description of the solving methods.
    http://www.alpertron.com.ar/QUAD.HTM

    Rational and Integral Points on Higher-dimensional Varieties
    Some of conjectures and open problems, compiled at AIM.
    http://aimath.org/WWN/qptsurface2/

    Rational Triangles
    Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
    http://grail.cba.csuohio.edu/~somos/rattri.html

    Thue Equations
    Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
    http://finanz.math.tu-graz.ac.at/~cheub/thue.html

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