ON LÜROTH EXPANSIONS IN WHICH THE LARGEST DIGIT GROWS WITH SLOWLY INCREASING SPEED

DOI10.1017/S0004972722000600zbMath1528.11067OpenAlexW4283322037MaRDI QIDQ6176135

WeiLiang Wang, Mengjie Zhang

Publication date: 25 July 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000600

zbMATH Keywords

Hausdorff dimensionLüroth expansionlargest digit

Mathematics Subject Classification ID

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

Cites Work

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• Frequency of digits in the Lüroth expansion
• Representations of real numbers by infinite series
• On the exceptional sets concerning the leading partial quotient in continued fractions
• The efficiency of approximating real numbers by Lüroth expansion
• Dimension of Besicovitch–Eggleston sets in countable symbolic space
• The distribution of the largest digit in continued fraction expansions
• Level sets of partial maximal digits for Lüroth expansion
• Exceptional sets related to the largest digits in Lüroth expansions
• Subexponentially increasing sums of partial quotients in continued fraction expansions
• A note on the largest digits in Lüroth expansion

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