Distribution Modulo One and Diophantine Approximation: 193 (Cambridge Tracts in Mathematics, Series Number 193) - Tapa dura

Libro 18 de 46: Cambridge Tracts in Mathematics

Bugeaud, Yann

 
9780521111690: Distribution Modulo One and Diophantine Approximation: 193 (Cambridge Tracts in Mathematics, Series Number 193)

Sinopsis

This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the last decade. Topics covered include the distribution modulo one of the integral powers of 3/2 and the frequency of occurrence of each digit in the decimal expansion of the square root of two. The author takes a point of view from combinatorics on words and introduces a variety of techniques, including explicit constructions of normal numbers, Schmidt's games, Riesz product measures and transcendence results. With numerous exercises, the book is ideal for graduate courses on Diophantine approximation or as an introduction to distribution modulo one for non-experts. Specialists will appreciate the inclusion of over 50 open problems and the rich and comprehensive bibliography of over 700 references.

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Acerca del autor

Yann Bugeaud is a Professor in the Institut de Recherche Mathématique Avancée (IRMA) at the University of Strasbourg, France.

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Otras ediciones populares con el mismo título

9780521128872: Distribution Modulo One and Diophantine Approximation (Cambridge Tracts in Mathematics, Series Number 193)

Edición Destacada

ISBN 10:  0521128870 ISBN 13:  9780521128872
Editorial: Cambridge University Press
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