Some metric properties on the GCF fraction expansion

DOI10.1016/J.JNT.2009.06.011zbMath1178.41013OpenAlexW2094222108MaRDI QIDQ1038477

Yuyuan Zhou, Lu-Ming Shen

Publication date: 18 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.06.011

zbMATH Keywords

metric propertiespartial quotientsGCF fraction

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50)

Related Items (5)

Some dimension relations of the Hirst sets in regular and generalized continued fractions ⋮ Metrical property for GCF_ϵ expansion with the parameter function ϵ(k) = c(k + 1) ⋮ Dimension of level sets in GCF expansion with parameters ⋮ Some stochastic properties on the GCFϵ expansion when ϵ(kn) = cknτ + cknτ−1 ⋮ The growth rate of the partial quotients in a class of continued fractions with parameters

Cites Work

• Unnamed Item
• Metrical properties for a class of continued fractions with increasing digits

This page was built for publication: Some metric properties on the GCF fraction expansion