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Bibliography on Hilbert's Tenth Problem
Searchable, ~400 items. (infos)Diophantine Equations
Dave Rusin's guide to Diophantine equations. (infos)
Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein. (infos)
The Erdos-Strauss Conjecture
The conjecture states that for any integer n > 1 there are integers a, b, and c with 4/n = 1/a + 1/b + 1/c, a > 0, b > 0, c > 0. The page establishes that the conjecture is true for all integers n, 1 < n <= 10^14. Tables and software by Allan Swett. (infos)
Thue Equations
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger. (infos)
Hilbert's Tenth Problem
Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites. (infos)
Diophantine Geometry in Characteristic p
A survey by José Felipe Voloch. (infos)
Pythagorean Triplets
A Javascript calculator for pythagorean triplets. (infos)
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. (infos)
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. (infos)