Bücher online kaufen
Unit Equations in Diophantine Number Theory
-0 %
HC gerader Rücken kaschiert
Print on Demand | Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
Artikel-Nr:
9781107097605
Veröffentl:
2016
Einband:
HC gerader Rücken kaschiert
Erscheinungsdatum:
07.01.2016
Seiten:
380
Autor:
Jan-Hendrik Evertse
Gewicht:
768 g
Format:
235x157x27 mm
Sprache:
Englisch
Beschreibung:
Jan-Hendrik Evertse is Assistant Professor in the Mathematical Institute at Leiden University. His research concentrates on Diophantine approximation and applications to Diophantine problems. In this area he has obtained some influential results, in particular on estimates for the numbers of solutions of Diophantine equations and inequalities. He has written more than 75 research papers and co-authored one book with Bas Edixhoven entitled Diophantine Approximation and Abelian Varieties (2003).
A comprehensive, graduate-level treatment of unit equations and their various applications.
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.