Some lacunarity properties of partial quotients of real numbers

被引：0

作者：

Zhao, Xuan ^{[1
]}

Zhang, Zhenliang ^{[2
]}

机构：

[1] Natl Educ Examinat Author, Beijing 100084, Peoples R China

[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2024年 / 362卷

关键词：

Hausdorff dimension; Continued fraction expansion; HAUSDORFF DIMENSION; SETS;

D O I：

10.5802/crmath.594

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider lacunarity properties of sequence of partial quotients for real numbers in their continued fraction expansions. Hausdorff dimension of the sets of points with different lacunarity conditions on their partial quotients are calculated.

引用

页数：8

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