Algebraic independence / Yu. V. Nesterenko.
Publication details: New Delhi : Narosa Publishing House, c2009.Description: viii, 162 p. ; 25 cmISBN:- 9788173199844
- 23 N468 512.7
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512.7 N468 (Browse shelf(Opens below)) | Available | 135546 | |||
| Books | ISI Library, Kolkata | 512.7 N468 (Browse shelf(Opens below)) | Available | 135547 |
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| 512.7 N275 Elementary methods in number theory | 512.7 N275 Number theory day | 512.7 N275 Number theory | 512.7 N468 Algebraic independence / | 512.7 N468 Algebraic independence / | 512.7 N486 Cohomology of number fields | 512.7 N486 Cohomology of number fields |
Includes bibliographical references and index.
1. Lindemann-Weierstrass theorem--
2. E-functions and Shidlovskii's theorem--
3. Small transcendence degree (Exponential function)--
4. Small transcendence degree (Modular functions)--
5. Algebraic fundamentals--
6. Philippon's criterion of algebraic independence--
7. Fields of large transcendence degree--
8. Multiplicity estimates--
Bibliography--
Index.
Deals with several important results and methods in transcendental number theory. This book deals with the classical result of Lindemann-Weierstrass and its applications. It also develops Siegel's theory of E-functions. It covers Shidlovskii's theorem on the algebraic independence of the values of the E-functions.
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