On the exponent of convergence of the digit sequence of Engel series

DOI10.1016/j.jmaa.2021.125368zbMath1469.11253arXiv2104.13006OpenAlexW3165509405MaRDI QIDQ2049341

Yanyan Li

Publication date: 25 August 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13006

zbMATH Keywords

Hausdorff dimensionexponent of convergenceEngel seriesBaire classification of sets

Mathematics Subject Classification ID

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

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Cites Work

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• Upper and lower fast Khintchine spectra in continued fractions
• On the exponent of convergence
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• Multifractal analysis of the convergence exponent in continued fractions
• On the growth speed of digits in Engel expansions
• On exponents of convergence of subsequences
• Some exceptional sets in Engel expansions
• Hausdorff dimension of certain sets arising in Engel expansions
• ON SOME EXCEPTIONAL SETS IN ENGEL EXPANSIONS AND HAUSDORFF DIMENSIONS
• SLOW GROWTH RATE OF THE DIGITS IN ENGEL EXPANSIONS
• The Exponent of Convergence of Poincaré Series

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