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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Cambridge Tracts in Mathematics |
| Release date: |
July 2012 |
| First published: |
September 2012 |
| Authors: |
Yann Bugeaud
|
| Dimensions: |
233 x 157 x 21mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
316 |
| Edition: |
New |
| ISBN-13: |
978-0-521-11169-0 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
|
| LSN: |
0-521-11169-2 |
| Barcode: |
9780521111690 |
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