The relative growth rate of the largest digit in continued fraction expansions

DOI10.1007/S10986-016-9310-7zbMath1362.11076OpenAlexW2326728353MaRDI QIDQ282141

Zhen-Liang Zhang

Publication date: 12 May 2016

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-016-9310-7

zbMATH Keywords

Hausdorff dimensioncontinued fraction expansionthe largest digit

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50)

Related Items (2)

On the exceptional sets concerning the leading partial quotient in continued fractions ⋮ A NOTE ON THE RELATIVE GROWTH RATE OF THE MAXIMAL DIGITS IN LÜROTH EXPANSIONS

Cites Work

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• Hausdorff dimension of certain sets arising in continued fraction expansions
• Estimates for partial sums of continued fraction partial quotients
• Dynamics of continued fractions with periodic constraints
• 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
• 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
• Conformal iterated function systems with applications to the geometry of continued fractions
• On the fractional dimension of sets of continued fractions
• A dimensional result in continued fractions

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