摘要
Let x∈(0,1)be a real number with continued fraction expansion[a_(1)(x),a_(2)(x),a_(3)(x),⋯].This paper is concerned with the multifractal spectrum of the convergence exponent of{a_(n)(x)}_(n≥1) defined by τ(x):=inf{s≥0:∑n≥1an^(-s)(x)<∞}.
作者
Lulu FANG
Jihua MA
Kunkun SONG
Min WU
房路路;马际华;宋昆昆;吴敏(School of Science,Nanjing University of Science and Technology,Nanjing,210094,China;School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China;Key Laboratory of Computing and Stochastic Mathematics(Ministry of Education),School of Mathematics and Statistics,Hunan Normal University,Changsha,410081,China;School of Mathematics,South China University of Technology,Guangzhou,510640,China)
基金
This research was supported by National Natural Science Foundation of China(11771153,11801591,11971195,12171107)
Guangdong Natural Science Foundation(2018B0303110005)
Guangdong Basic and Applied Basic Research Foundation(2021A1515010056)
Kunkun Song would like to thank China Scholarship Council(CSC)for financial support(201806270091).
