Overview

The C.I.M.E. session in Diophantine Approximation, held in Cetraro (Italy) June 28 - July 6, 2000 focused on height theory, linear independence and transcendence in group varieties, Baker's method, approximations to algebraic numbers and applications to polynomial-exponential diophantine equations and to diophantine theory of linear recurrences. Very fine lectures by D. Masser, Y. Nesterenko, H.-P. Schlickewei, W.M. Schmidt and M. Waldschmidt have resulted giving a good overview of these topics, and describing central results, both classical and recent, emphasizing the new methods and ideas of the proofs rather than the details. They are addressed to a wide audience and do not require any prior specific knowledge.

Full Product Details

Author:   David Masser ,  Francesco Amoroso ,  Yuri V. Nesterenko ,  Umberto Zannier
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2003
Volume:   1819
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.150kg
ISBN:  

9783540403920

ISBN 10:   3540403922
Pages:   356
Publication Date:   14 July 2003
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Heights, Transcendence, and Linear Independence on Commutative Group Varieties.- Linear Forms in Logarithms of Rational Numbers.- Approximation of Algebraic Numbers.- Linear Recurrence Sequences.- Linear Independence Measures for Logarithms of Algebraic Numbers.

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