Unit equations in Diophantine number theory / Jan-Hendrick Evertse, Kálmán Györy.

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Bibliographic Details
Main Authors: Evertse, J. H. (Author), Györy, Kálmán (Author)
Format: Book
Language:English
Published: Cambridge : Cambridge University Press, 2015.
Series:Cambridge studies in advanced mathematics ; 146.
Subjects:
Table of Contents:
  • 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.