Book contents
- Frontmatter
- Contents
- Preface
- Frequently used notation
- 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 β-expansions
- 10 Conjectures and open questions
- Appendix A Combinatorics on words
- Appendix B Some elementary lemmata
- Appendix C Measure theory
- Appendix D Continued fractions
- Appendix E Diophantine approximation
- Appendix F Recurrence sequences
- References
- Index
3 - On the fractional parts of powers of algebraic numbers
Published online by Cambridge University Press: 05 October 2012
Book contents
- Frontmatter
- Contents
- Preface
- Frequently used notation
- 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 β-expansions
- 10 Conjectures and open questions
- Appendix A Combinatorics on words
- Appendix B Some elementary lemmata
- Appendix C Measure theory
- Appendix D Continued fractions
- Appendix E Diophantine approximation
- Appendix F Recurrence sequences
- References
- Index
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- Distribution Modulo One and Diophantine Approximation , pp. 48 - 77Publisher: Cambridge University PressPrint publication year: 2012