TY  - BOOK
AU  - Evertse,Jan-Hendrik
AU  - Gyory,Kalman
TI  - Unit equations in Diophantine number theory
T2  - Cambridge studies in advanced mathematics
SN  - 9781107097605
U1  - 512.7 23
PY  - 2015///
CY  - Cambridge : 
PB  - Cambridge University Press, 
KW  - Diophantine equations
N1  - Includes bibliographical references and index; Part I. Preliminaries. 
1. Basic algebraic number theory -- 
2. Algebraic function fields -- 
3. Tools from Diophantine approximation and transcendence theory -- 
Part II. Unit equations and applications.  
4. Effective results for unit equations in two unknowns over number fields -- 
5. Algorithmic resolution of unit equations in two unknowns -- 
6. Unit equations in several unknowns -- 
7. Analogues over function fields -- 
8. Effective results for unit equations over finitely generated domains -- 
9. Decomposable form equations -- 
10. Further applications
N2  - A comprehensive, graduate-level treatment of unit equations and their various applications. The book is suitable for young researchers as well as experts who are looking for an up-to-date overview of the field
ER  -