MULTIFRACTAL ANALYSIS OF THE CONVERGENCE EXPONENT IN CONTINUED FRACTIONS

被引：0

作者：

房路路 ^{[1
]}

马际华 ^{[2
]}

宋昆昆 ^{[3
]}

吴敏 ^{[4
]}

机构：

[1] School of Science, Nanjing University of Science and Technology

[2] School of Mathematics and Statistics, Wuhan University

[3] Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education), School of Mathematics and Statistics, Hunan Normal University

[4] School of Mathematics, South China University of Technology

来源：

ActaMathematicaScientia | 2021年 / 41卷 / 06期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

Let x ∈(0, 1) be a real number with continued fraction expansion [a1(x), a2(x),a3(x), ··· ]. This paper is concerned with the multifractal spectrum of the convergence exponent of {an(x)}n≥1defined by■

引用

页码：1896 / 1910

页数：15

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