Directory: Top/Science/Math/Number_Theory/Diophantine

Top / Science / Math / Number_Theory / Diophantine_Equations /

Bibliography on Hilbert's Tenth Problem
Searchable, 400 items.
http://liinwww.ira.uka.de/bibliography/Math/Hilbert10.html
Uka.de ~ Site Info Whois Trace Route RBL Check

Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein.
http://www.ics.uci.edu/~eppstein/numth/egypt/
Uci.edu ~ Site Info Whois Trace Route RBL Check

The Erdos-Strauss Conjecture
The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett.
http://math.uindy.edu/swett/esc.htm
Uindy.edu ~ Site Info Whois Trace Route RBL Check

Thue Equations
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
http://finanz.math.tu-graz.ac.at/~cheub/thue.html
Tu-graz.ac.at ~ Site Info Whois Trace Route RBL Check

Hilbert's Tenth Problem
Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.
http://logic.pdmi.ras.ru/Hilbert10/
Ras.ru ~ Site Info Whois Trace Route RBL Check

Diophantine Geometry in Characteristic p
A survey by José Felipe Voloch.
http://www.ma.utexas.edu/users/voloch/surveylatex/surveylatex.html
Utexas.edu ~ Site Info Whois Trace Route RBL Check

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.
http://www.ltn.lv/~podnieks/gt4.html
Ltn.lv ~ Site Info Whois Trace Route RBL Check

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
http://www.alpertron.com.ar/QUAD.HTM
Alpertron.com.ar ~ Site Info Whois Trace Route RBL Check

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.
http://www.math.hr/~duje/dtuples.html
Math.hr ~ Site Info Whois Trace Route RBL Check

Rational Triangles
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
http://grail.cba.csuohio.edu/~somos/rattri.html
Csuohio.edu ~ Site Info Whois Trace Route RBL Check