Diagonal Quartic Surfaces
Articles, computations and software in Magma and GP by Martin Bright.
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 th…
Linear Diophantine Equations
A web tool for solving Diophantine equations of the form ax + by = c.
Pythagorean Triples Etcetera
A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles.
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" (o…
Rational and Integral Points on Higher-dimensional Varieties
Some of conjectures and open problems, compiled at AIM.
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 fo…