The growth rate of the partial quotients in a class of continued fractions with parameters

DOI10.1016/J.JNT.2014.06.012zbMath1303.11090OpenAlexW1968676175MaRDI QIDQ741692

Liang Tang, Ting Zhong

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.06.012

zbMATH Keywords

Hausdorff dimensiongeneralized continued fractions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (3)

Some dimension relations of the Hirst sets in regular and generalized continued fractions ⋮ Dimension of level sets in GCF expansion with parameters ⋮ How the dimension of some \(\mathrm{GCF}_{\varepsilon}\) sets change with proper choice of the parameter function \(\varepsilon(k)\)

Cites Work

• Metrical properties for a class of continued fractions with increasing digits
• Some metric properties on the GCF fraction expansion
• Representations of real numbers by infinite series
• How many points have the same Engel and Sylvester expansions?
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