Book dossier
by T. N. Shorey, R. Tijdeman
This is a integrated presentation of the theory of exponential diophantine equations. The authors present, in a clear and unified fashion, applications to exponential diophantine equations and linear recurrence sequences of the Gelfond-Baker theory of linear forms in logarithms of algebraic numbers. Topics covered include the Thue equations, the generalised hyperelliptic equation, and the Fermat and Catalan equations. The necessary preliminaries are given in the first three chapters. Each chapter ends with a section giving details of related results.
Hilbert's Tenth Problem
Alexandra Shlapentokh
Diophantineequations over function fields
R. C. Mason
Diophantine equations
L. J. Mordell
Analytic methods for Diophantine equations and Diophantine inequalities
Harold Davenport
Klassicheskie diofantovy uravnenii͡a︡ ot dvukh neizvestnykh
V. G. Sprindzhuk
Unit Equations in Diophantine Number Theory
Jan-Hendrik Evertse
The Algorithmic Resolution of Diophantine Equations
Nigel P. Smart
Ratner's Theorems on Unipotent Flows (Chicago Lectures in Mathematics)
Dave Witte Morris
Diophantine equations in division algebras
Ralph G. Archibald
