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Algebraic independence

By: Material type: TextTextLanguage: English Publication details: New Delhi Narosa Publishing House 2009Description: viii, 162pISBN:
  • 9788173199844 (PB)
Subject(s):
Contents:
Preface / Lindemann-Weierstrass Theorem / E-functions and Shidlovskii's Theorem / Small Transcendence Degree (Exponential Function) / Small Transcendence Degree (Modular Functions) / Algebraic Fundamentals / Philippon's Criterion of Algebraic Independence / Fields of Large Transcendence Degree / 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.464 NES (Browse shelf(Opens below)) Available 63061
IMSc Library 511.46 NES (Browse shelf(Opens below)) Available 63060
IMSc Library 511.46 NES (Browse shelf(Opens below)) Available 63059
IMSc Library 511.464 NES (Browse shelf(Opens below)) Available 63058

Includes index

Includes bibliography (p. 154-158) and references

Preface / Lindemann-Weierstrass Theorem / E-functions and Shidlovskii's Theorem / Small Transcendence Degree (Exponential Function) / Small Transcendence Degree (Modular Functions) / Algebraic Fundamentals / Philippon's Criterion of Algebraic Independence / Fields of Large Transcendence Degree / 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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The Institute of Mathematical Sciences, Chennai, India