Dimension theory of Luroth digits

被引：3
作者：
Feng, Y. [1 ]
Zhou, Q. L. [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2023年 / 170卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Luroth expansion; Hausdorff dimension; Diophantine approximation; PARTIAL QUOTIENTS; NUMBERS;
D O I：
10.1007/s10474-023-01344-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the relative growth properties of the Luroth digits and establish the Hausdorff dimension of exceptional sets of points with a given relative growth rate.
引用
收藏
页码：150 / 167
页数：18
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