Diophantine Equations Number Theory Math

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.

• Thue Equations - Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
• Diagonal Quartic Surfaces - Articles, computations and software in Magma and GP math by Martin Bright.
• Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n - Methods to solve these equations.
• Hilbert's Tenth Problem - Given a Diophantine equation with any number of unknowns and diophantine equations with rational integer coefficients: devise a process, which could determine diophantine equations by a finite number of operations whether the equation is diophantine equations solvable in rational integers.
• Pythagorean Triples Etcetera - A web text by Fred Barnes on 60-, number theory 90-, diophantine equations 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.
• Rational Triangles - Triangles in the Euclidean plane such that all number theory three number theory sides are rational. With tables of number theory Heronian and number theory Pythagorean triples.
• The Erdos-Strauss Conjecture - The page establishes that the conjecture is true diophantine equations for number theory all integers. Tables and software by Allan diophantine equations Swett.
• Rational and Integral Points on Higher-dimensional Varieties - Some of conjectures and open problems, compiled at diophantine equations AIM.
• Diophantus Quadraticus - On-line Pell Equation solver by Michael Zuker.
• Pell's Equation - Provides information on this equation, solved by Brahmagupta in 628 math AD.
• Diophantine Geometry in Characteristic p - A survey by José Felipe Voloch.
• Bibliography on Hilbert's Tenth Problem - Searchable, 400 items.
• Linear Diophantine Equations - A web tool for solving Diophantine equations of math the form diophantine equations ax + by = c.
• Pythagorean Triplets - A Javascript calculator for pythagorean triplets.
• Egyptian Fractions - Lots of information about Egyptian fractions collected by diophantine equations David Eppstein.
• Diophantine m-tuples - Sets with the property that the product of diophantine equations any number theory two distinct elements is one less than diophantine equations a square. number theory Notes and bibliography by Andrej diophantine equations Dujella.
• Quadratic Diophantine Equation Solver - Dario Alpern\\'s Java/JavaScript code that solves Diophantine equations math of the form Ax^2 + Bxy + Cy^2 math + Dx + Ey + F = 0 math in two selectable modes: "solution only" and "step math by step" (or "teach") mode. There is also math a link to his

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