Directory Home: Science: Math: Number Theory: Diophantine Equations  (42)

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Diophantine Equations Categories

Equal Sums of Like Powers - 8 sites

Fermat's Last Theorem - 15 sites

Diophantine Equations - Web Sites

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

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

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

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

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.
url: www.math.hr/~duje/dtuples.html

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

Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein.
url: 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.
url: 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.
url: 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.
url: www.ltn.lv/~podnieks/gt4.html

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

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

Pythagorean Triples Etcetera
A web text by Fred Barnes on 60, 90, and 120degree integersided triangles.
url: 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.
url: www.hbnweb.de/pythagoras/pythagoras.html

Pythagorean Triplets
A Javascript calculator for pythagorean triplets.
url: 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.
url: www.alpertron.com.ar/QUAD.HTM

Rational and Integral Points on Higher-dimensional Varieties
Some of conjectures and open problems, compiled at AIM.
url: 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.
url: 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.
url: finanz.math.tu-graz.ac.at/~cheub/thue.html

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