Yann Bugeaud

Distribution Modulo One and Diophantine Approximation

• Gebundenes Buch

Produktbeschreibung

A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, with exercises and open problems.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 318
• Erscheinungstermin: 28. Juli 2017
• Englisch
• Abmessung: 235mm x 157mm x 23mm
• Gewicht: 671g
• ISBN-13: 9780521111690
• ISBN-10: 0521111692
• Artikelnr.: 35450688

Autorenporträt

Yann Bugeaud is a Professor in the Institut de Recherche Mathématique Avancée (IRMA) at the University of Strasbourg, France.

Inhaltsangabe

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.