Diophantine Equations
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In this category are included any equation or set of equations where the unknowns must be integer numbers. It includes Fermat Last Theorem as a special case.

### Subcategories2

Diagonal Quartic Surfaces
Articles, computations and software in Magma and GP by Martin Bright.
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.
Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein.
The Erdos-Strauss Conjecture
The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett.
Hilbert's Tenth Problem
Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.
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.
Linear Diophantine Equations
A web tool for solving Diophantine equations of the form ax + by = c.
Pell's Equation
Provides information on this equation, solved by Brahmagupta in 628 AD.
Pell's Equation
Record solutions.
Pythagorean Triples in JAVA
A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.
Pythagorean Triplets
A Javascript calculator for pythagorean triplets.
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.
Rational and Integral Points on Higher-dimensional Varieties
Some of conjectures and open problems, compiled at AIM.
Rational Triangles
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
Thue Equations
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.

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Last update:
October 14, 2015 at 13:35:07 UTC
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