Some dimension relations of the Hirst sets in regular and generalized continued fractions

DOI10.1016/J.JNT.2016.03.017zbMATH Open1414.11094OpenAlexW2344579187MaRDI QIDQ290025

Ting Zhong, Liang Tang

Publication date: 1 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.03.017

zbMATH Keywords

Hausdorff dimensiongeneralized continued fractionparameter functions \(\varepsilon(k)\)partial quotients sequenceregular continued fractions

Mathematics Subject Classification ID

Fractals (28A80) Metric theory of continued fractions (11K50)

Cites Work

• Unnamed Item
• Unnamed Item
• The growth rate of the partial quotients in a class of continued fractions with parameters
• Metrical properties for a class of continued fractions with increasing digits
• Some metric properties on the GCF fraction expansion
• Metrical property for GCF_ϵ expansion with the parameter function ϵ(k) = c(k + 1)
• HAUSDORFF DIMENSION OF SETS OF CONTINUED FRACTIONS
• HOW THE PARAMETER ε INFLUENCE THE GROWTH RATES OF THE PARTIAL QUOTIENTS IN GCF_εEXPANSIONS
• A problem of Hirst on continued fractions with sequences of partial quotients
• Continued fractions with sequences of partial quotients

Related Items (2)

Dimension of level sets in GCF expansion with parameters ⋮ On irrationality exponents of generalized continued fractions

This page was built for publication: Some dimension relations of the Hirst sets in regular and generalized continued fractions