Distribution Modulo One and Diophantine Approximation

Name: Distribution Modulo One and Diophantine Approximation
Brand: Cambridge University Press
SKU: 9780521111690
Price: 847.0 RON
Availability: InStock

Autor: Yann Bugeaud

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Legare: Copertă tare

Editura: Cambridge University Press

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This book presents state-of-the-art research on the distribution modulo one of sequences of integral...

Informații despre carte

Autor

Yann Bugeaud

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2012

Pagini

316

EAN

9780521111690

ISBN

0521111692

Enbook ID

01204197

Editura

Cambridge University Press

Greutate

580

Dimensiuni

157 x 231 x 21

Descriere completă

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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Distribution Modulo One and Diophantine Approximation

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