Diophantine Equations Number Theory

• Equal Sums of Like Powers
• Fermat's Last Theorem

• Bibliography on Hilbert's Tenth Problem  - Information includes the author's biography, original source, and a graph on the distribution of publication dates.
• Diagonal Quartic Surfaces  - Contains downloadable programs and data. Also shows the implementation of the various algorithms.
• Diophantine Geometry in Characteristic p  - Presents a survey on the recent finiteness results on rational and integral points on algebraic varieties. With a discussion on Abelian varieties and their subvarieties.
• Diophantine m-tuples  - Features a set of four positive rationals, with their properties. Includes various generalizations and references.
• The Erdos-Strauss Conjecture  - Presents a table of values having a link to a larger table and related comments. Includes links to software source code.
• Hilbert's Tenth Problem  - Promotes research connected with the negative solution of Hilbert's Tenth Problem. Also contains galleries, history, and a bibliography.
• Hilbert's Tenth Problem  - Provides history of the problem and story of the solution. With examples and solutions to sample problems.
• Pell's Equation  - Shows other methods in computing fundamental solution. Includes a table depicting a current complete list of record holders.
• Rational and Integral Points on Higher-dimensional Varieties  - Features some conjectures and open problems concerning rational and integral points on higher dimensional varieties. With photos and lecture notes.
• Rational Triangles  - Provides definition, a discussion on the kinds of triangles, related links, and tables.
• Thue Equations  - Provides a discussion on diophantine equations, thue equations, and the parametrized thue equations.