Unit equations in Diophantine number theory / Jan-Hendrik Evertse and Kalman Gyory.
Material type:
TextSeries: Cambridge studies in advanced mathematics ; 146.Publication details: Cambridge : Cambridge University Press, 2015.Description: xv, 363 p. ; 24 cmISBN: - 9781107097605
- 512.7 23 Ev93
| 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 |
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| 512.7 Er66 Topics in the theory of numbers | 512.7 Er68 Introduction to number theory | 512.7 Ev93 Introduction to number theory | 512.7 Ev93 Unit equations in Diophantine number theory / | 512.7 F295 Number systems | 512.7 F495 Number theory an introduction via the distribution of primes | 512.7 F495 Algebra and number theory: a selection of highlights/ |
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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