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Wednesday, 23 July, 2008

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Diophantine Equations

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The Erdos-Strauss Conjecture (Popularity: )

The conjecture states that for any integer n > 1 there are integers a, b, ...

Pythagorean Triples in JAVA (Popularity: )

A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.

Quadratic Diophantine Equation Solver (Popularity: )

Dario Alpern's Java/JavaScript code that solves Diophantine equations of the form Ax^2 + Bxy + ...

NOVA Online | The Proof (Popularity: )

NOVA Online presents The Proof, including an interview with Andrew Wiles, an essay on Sophie ...

Diophantus Quadraticus (Popularity: )

On-line Pell Equation solver by Michael Zuker.

Egyptian Fractions (Popularity: )

Lots of information about Egyptian fractions collected by David Eppstein.

Pythagorean Triplets (Popularity: )

A Javascript calculator for pythagorean triplets.

Bibliography on Hilbert's Tenth Problem (Popularity: )

Searchable, ~400 items.

Hilbert's Tenth Problem (Popularity: )

Statement of the problem in several languages, history of the problem, bibliography and links to ...

Hilbert's Tenth Problem (Popularity: )

Given a Diophantine equation with any number of unknowns and with rational integer coefficients: devise ...

Diophantine m-tuples (Popularity: )

Sets with the property that the product of any two distinct elements is one less ...

Thue Equations (Popularity: )

Definition of the problem and a list of special cases that have been solved, by ...

Beal Conjecture (Popularity: )

The official Beal Conjecture site with information and links regarding the problem.

Solving General Pell Equations (Popularity: )

John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 ...

Diophantine Geometry in Characteristic p (Popularity: )

A survey by José Felipe Voloch.

Computing Minimal Equal Sums Of Like Powers (Popularity: )

Jean-Charles Meyrignac's distributed-computing project on equal sums of like powers and the place to look ...

Beal's Conjecture: A Search for Counterexamples (Popularity: )

Results of a computer search by Peter Norvig.

An Elementary Attack on "Fermat" (Popularity: )

By Kerry M. Evans.

Equations Involving Sums of Powers (Popularity: )

Joseph McLean's investigations into those equations.

1, 3, 8, 120, ... (Popularity: )

Sets of numbers such that the product of any two is one less than a ...

 
 

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