Diophantine Approximation: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000 / Edition 1

Diophantine Approximation: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000 / Edition 1

by Francesco Amoroso, David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei
     
 

ISBN-10: 3540403922

ISBN-13: 9783540403920

Pub. Date: 09/10/2003

Publisher: Springer Berlin Heidelberg

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

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. Walsschmidt 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.

Product Details

ISBN-13:
9783540403920
Publisher:
Springer Berlin Heidelberg
Publication date:
09/10/2003
Series:
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, #1819
Edition description:
Softcover reprint of the original 1st ed. 2003
Pages:
356
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

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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