Distribution modulo one and diophantine approximation /

"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 distri...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Bugeaud, Yann
Format: Printed Book
Sprache:English
Veröffentlicht: New York : Cambridge University Press, 2012.
Schriftenreihe:Cambridge tracts in mathematics ; 193
Schlagworte:
Diophantine analysis.
Distribution modulo one.
MATHEMATICS / Number Theory
Online Zugang:http://assets.cambridge.org/97805211/11690/cover/9780521111690.jpg
LEADER 02815cam a2200301 a 4500
008 120409s2012 nyu b 001 0 eng
010 |a  2012013417 
020 |a 9780521111690 (hardback) 
042 |a pcc 
082 0 0 |a 512.7/4  |2 23 
084 |a 11  |2 msc 
100 1 |a Bugeaud, Yann, 
245 1 0 |a Distribution modulo one and diophantine approximation /  |c Yann Bugeaud. 
260 |a New York :  |b Cambridge University Press,  |c 2012. 
300 |a xvi, 300 p. ;  |c 24 cm. 
490 0 |a Cambridge tracts in mathematics ;  |v 193 
504 |a Includes bibliographical references and index. 
505 8 |a Machine generated contents note: 1. Distribution modulo one; 2. On the fractional parts of powers of real numbers; 3. On the fractional parts of powers of algebraic numbers; 4. Normal numbers; 5. Further explicit constructions of normal and non-normal numbers; 6. Normality to different bases; 7. Diophantine approximation and digital properties; 8. Digital expansion of algebraic numbers; 9. Continued fraction expansions and beta-expansions; 10. Conjectures and open problems; A. Combinatorics on words; B. Some elementary lemmata; C. Measure theory; D. Continued fractions; E. Diophantine approximation; F. Recurrence sequences; References; Index. 
520 |a "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"-- 
650 0 |a Diophantine analysis. 
650 0 |a Distribution modulo one. 
650 7 |a MATHEMATICS / Number Theory 
856 4 2 |u http://assets.cambridge.org/97805211/11690/cover/9780521111690.jpg 
906 |a 7  |b cbc  |c orignew  |d 1  |e ecip  |f 20  |g y-gencatlg 
942 |c BK 
955 |b xj12 2012-04-09  |c xj12 2012-04-09 ONIX (telework) to STM  |a xn05 2012-10-02 1 copy rec'd., to CIP ver.  |a rf18 2012-10-26 add'l. copy rec'd. 
999 |c 135794  |d 135794 
952 |0 0  |1 0  |4 0  |6 11_000000000000000_BUG  |7 0  |9 150328  |a MAT  |b MAT  |c ST1  |d 2014-01-29  |e 2014-01-28  |i 6477  |l 0  |o 11 BUG  |p MAT6477  |r 2014-01-29  |w 2018-08-20  |y BK 

Ähnliche Einträge