The relative growth rate of the largest partial quotient to the sum of partial quotients in continued fraction expansions

DOI10.1016/J.JNT.2015.11.027zbMath1408.11078OpenAlexW2293484304MaRDI QIDQ5964552

Zhen-Liang Zhang, Mei-Ying Lü

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.11.027

zbMATH Keywords

Hausdorff dimensioncontinued fraction expansionthe largest partial quotient

Mathematics Subject Classification ID

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

Related Items (2)

On the exceptional sets concerning the leading partial quotient in continued fractions ⋮ Uniformly non–improvable Dirichlet set via continued fractions

Cites Work

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• Estimates for partial sums of continued fraction partial quotients
• The relative growth rate for partial quotients
• A remark on the growth of the denominators of convergents
• Explicit continued fractions with expected partial quotient growth
• On the distribution for sums of partial quotients in continued fraction expansions
• Hausdorff dimension of real numbers with bounded digit averages
• The distribution of the largest digit in continued fraction expansions
• How many points contain arithmetic progressions in their continued fraction expansion?
• A conjecture of Erdös on continued fractions
• A dimensional result in continued fractions

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