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Czechoslovak Mathematical Journal

, Volume 68, Issue 1, pp 277–291 | Cite as

On the maximal run-length function in the Lüroth expansion

  • Yu Sun
  • Jian Xu
Article
  • 44 Downloads

Abstract

We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.

Keywords

Lüroth expansion run-length function Hausdorff dimension 

MSC 2010

11K55 28A80 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  1. 1.Faculty of Science, Jiangsu UniversityZhenjiang, JiangsuP. R. China
  2. 2.School of Mathematics and Statistics, Huazhong University of Science and TechnologyWuhan, HubeiChina

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