Web Directory

» Bibliography on Hilbert's Tenth Problem
   Searchable, 400 items.
   http://liinwww.ira.uka.de/bibliography/Math/Hilbert10.html

» Diagonal Quartic Surfaces
   Articles, computations and software in Magma and GP by Martin Bright.
   http://www.boojum.org.uk/maths/quartic-surfaces/

» Diophantine Geometry in Characteristic p
   A survey by José Felipe Voloch.
   http://www.ma.utexas.edu/users/voloch/surveylatex/surveylatex.html

» 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

» Egyptian Fractions
   Lots of information about Egyptian fractions collected by David Eppstein.
   http://www.ics.uci.edu/~eppstein/numth/egypt/

» 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

» Linear Diophantine Equations
   A web tool for solving Diophantine equations of the form ax + by = c.
   http://www.thoralf.uwaterloo.ca/htdocs/linear.html

» Pell's Equation
   Provides information on this equation, solved by Brahmagupta in 628 AD.
   http://www-history.mcs.st-andrews.ac.uk/history/Projects/Pearce/Chapters/Ch8_6.html

» Pythagorean Triples Etc.
   A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles.
   http://www.pythag.net

» Pythagorean Triples in JAVA
   A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.
   http://www.hbnweb.de/pythagoras/pythagoras.html

» Pythagorean Triplets
   A Javascript calculator for pythagorean triplets.
   http://www.hbmeyer.de/pythagen.htm

» 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 met
   http://www.alpertron.com.ar/QUAD.HTM

» 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

» Rational and Integral Points on Higher-dimensional Varieties
   Some of conjectures and open problems, compiled at AIM.
   http://aimath.org/WWN/qptsurface2/

» 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

» 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