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Unit equations in Diophantine number theory / Jan-Hendrik Evertse and Kalman Gyory.

By: Contributor(s): Material type: TextTextSeries: Cambridge studies in advanced mathematics ; 146.Publication details: Cambridge : Cambridge University Press, 2015.Description: xv, 363 p. ; 24 cmISBN:
  • 9781107097605
Subject(s): DDC classification:
  • 512.7 23 Ev93
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.7 Ev93 (Browse shelf(Opens below)) Available 137172
Total holds: 0

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.

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.

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