Unit equations in Diophantine number theory - Evertse, Jan-Hendrick; Gyory, Kalman (Cambridge Cambridge University Press, 2015)
Part 1. Preliminaries. Basic algebraic number theory -- Algebraic function fields -- Tools from Diophantine approximation and transcendence theory -- Part 2. Unit equations and applications. Effective results for unit equations in two unknowns over number fields -- Algorithmic resolution of unit equations in two unknowns -- Unit equations in several unknowns -- Analogues over function fields -- Effective results for unit equations over finitely generated domains -- Decomposable form equations -- Further applications.
Includes bibliographical references (pages 337-357) and index.
Keywords: Diophantine equations