A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, with exercises and open problems.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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