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Distribution modulo one and diophantine approximation

Author: Yann Bugeaud
Publisher: New York : Cambridge University Press, 2012.
Series: Cambridge tracts in mathematics, 193.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Details

Document Type: Book
All Authors / Contributors: Yann Bugeaud
ISBN: 9780521111690 0521111692
OCLC Number: 779264892
Description: xvi, 300 p. ; 24 cm.
Contents: Distribution modulo one --
On the fractional parts of powers of real numbers --
On the fractional parts of powers of algebraic numbers --
Normal numbers --
Further explicit constructions of normal and non-normal numbers --
Normality to different bases --
Diophantine approximation and digital properties --
Digital expansion of algebraic numbers --
Continued fraction expansions and beta-expansions --
Conjectures and open questions --
Combinatorics on words --
Some elementary lemmata --
Measure theory --
Continued fractions --
Diophantine approximation --
Recurrence sequences.
Series Title: Cambridge tracts in mathematics, 193.
Responsibility: Yann Bugeaud.

Abstract:

A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, with exercises and open problems.  Read more...
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"The reader may learn a lot from this book about various techniques used i this subject over many years (e.g., classical and metrical Diophantine approximation, combinatorics on words) and, in Read more...

 
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