| 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. |
| 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: 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. |
| Solving General Pell Equations: John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 = N. |
| 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. |
| Thue Equations: Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger. |
Classical
