Table of contents for Unit equations in Diophantine number theory / Jan-Hendrik Evertse, Universiteit Leiden, Kalman Gyory, Debreceni Egyetem, Hungary.


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Preface; Summary; Glossary of frequently used notation; 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; References; Index.


Library of Congress subject headings for this publication:
Diophantine equations.
Diophantine equations. -- fast -- (OCoLC)fst00894090