The relative growth rate for the digits in Lüroth expansions
- Resource Type
- article
- Authors
- Tan, Xiaoyan; Zhang, Zhenliang
- Source
- Comptes Rendus. Mathématique, Vol 358, Iss 5, Pp 557-562 (2020)
- Subject
- Lüroth expansion
Hausdorff dimension
relative growth rate
Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
In this note, the rate of growth of digits in the Lüroth expansion of an irrational number is studied relative to the rate of approximation of the number by its convergents. The Hausdorff dimension of exceptional sets of points with a given relative growth rate is established.