Subdirectories of Diophantine Equations:
Websites on Diophantine Equations: Bibliography on Hilbert's Tenth Problem Searchable, 400 items. Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n Methods to solve these equations. Diagonal Quartic Surfaces Articles, computations and software in Magma and GP by Martin Bright. Diophantine Geometry in Characteristic p A survey by José Felipe Voloch. 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. Diophantus Quadraticus On-line Pell Equation solver by Michael Zuker. 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 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. 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 Record solutions. Pythagorean Triples Etcetera A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles. 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. 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. 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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