e-sygoing.link — Diophantine Equations https://e-sygoing.link Latest links in the Diophantine Equations category en-us Mon, 25 May 2026 01:28:15 -0400 Pythagorean Triples Etcetera https://e-sygoing.link/link/5280397-pythagorean-triples-etcetera A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles. Sun, 12 Apr 2026 23:21:36 -0400 https://e-sygoing.link/go/5280397 Hilbert's Tenth Problem https://e-sygoing.link/link/5280386-hilberts-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. Wed, 04 Feb 2026 15:12:01 -0500 https://e-sygoing.link/go/5280386 Pell's Equation https://e-sygoing.link/link/5280392-pells-equation Record solutions. Wed, 24 Dec 2025 05:39:47 -0500 https://e-sygoing.link/go/5280392 Hilbert's Tenth Problem https://e-sygoing.link/link/5280383-hilberts-tenth-problem Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites. Mon, 07 Jul 2025 14:37:59 -0400 https://e-sygoing.link/go/5280383 Diophantine Geometry in Characteristic p https://e-sygoing.link/link/5280384-diophantine-geometry-in-characteristic-p A survey by José Felipe Voloch. Fri, 02 May 2025 03:03:07 -0400 https://e-sygoing.link/go/5280384 Rational and Integral Points on Higher-dimensional Varieties https://e-sygoing.link/link/5280394-rational-and-integral-points-on-higher-dimensional-varieties Some of conjectures and open problems, compiled at AIM. Fri, 14 Feb 2025 23:14:19 -0500 https://e-sygoing.link/go/5280394 Linear Diophantine Equations https://e-sygoing.link/link/5280396-linear-diophantine-equations A web tool for solving Diophantine equations of the form ax + by = c. Thu, 31 Oct 2024 00:24:32 -0400 https://e-sygoing.link/go/5280396 Quadratic Diophantine Equation Solver https://e-sygoing.link/link/5280387-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. Sat, 12 Oct 2024 07:08:12 -0400 https://e-sygoing.link/go/5280387 Diagonal Quartic Surfaces https://e-sygoing.link/link/5280395-diagonal-quartic-surfaces Articles, computations and software in Magma and GP by Martin Bright. Fri, 14 Jun 2024 05:42:48 -0400 https://e-sygoing.link/go/5280395 Solving General Pell Equations https://e-sygoing.link/link/5280391-solving-general-pell-equations John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 = N. Sat, 01 Jun 2024 13:47:09 -0400 https://e-sygoing.link/go/5280391