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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...
| Main Author: | |
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| Format: | Printed Book |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2012.
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| Series: | Cambridge tracts in mathematics ;
193 |
| Subjects: | |
| Online Access: | http://assets.cambridge.org/97805211/11690/cover/9780521111690.jpg |
Table of Contents:
- 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.