Diophantine Approximation on Linear Algebraic Groups

Diophantine Approximation on Linear Algebraic Groups
Author: Michel Waldschmidt
Publisher: Springer Science & Business Media
Total Pages: 649
Release: 2013-03-14
Genre: Mathematics
ISBN: 3662115697

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The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.


Diophantine Approximation on Linear Algebraic Groups
Language: en
Pages: 649
Authors: Michel Waldschmidt
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function
Linear Algebraic Groups
Language: en
Pages: 347
Authors: T.A. Springer
Categories: Mathematics
Type: BOOK - Published: 2008-11-13 - Publisher: Springer Science & Business Media

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The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and ex
Diophantine Approximation
Language: en
Pages: 359
Authors: Wolfgang M. Schmidt
Categories: Diophantine analysis
Type: BOOK - Published: 1970 - Publisher: Springer Science & Business Media

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Diophantine Approximation
Language: en
Pages: 359
Authors: David Masser
Categories: Mathematics
Type: BOOK - Published: 2008-02-01 - Publisher: Springer

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Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the e
Algebraic Groups and Arithmetic
Language: en
Pages: 590
Authors: S. G. Dani
Categories: Computers
Type: BOOK - Published: 2004 - Publisher: Narosa Publishing House

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Major advances have been made in recent decades in algebraic groups and arithmetic. The School of Mathematics of the Tata Institute of Fundamental Research, und