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Algebraic independence / Yu. V. Nesterenko.

By: Contributor(s): Publication details: New Delhi : Narosa Publishing House, c2009.Description: viii, 162 p. ; 25 cmISBN:
  • 9788173199844
Subject(s): DDC classification:
  • 23 N468 512.7
Contents:
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.
Summary: 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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Holdings
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
Total holds: 0

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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