On the error-sum function of Lüroth series

DOI10.1016/j.jmaa.2006.07.049zbMath1154.11331OpenAlexW2080006643MaRDI QIDQ1001297

Jun Wu, Lu-Ming Shen

Publication date: 17 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.049

zbMATH Keywords

Hausdorff dimensionerror-sum functionLüroth series

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory (11J83)

Related Items (6)

On the Lebesgue measure of sum-level sets for Lüroth expansion ⋮ On the error-sum function of pierce expansions ⋮ On the error-sum function of tent map base series ⋮ THE GROWTH RATE OF THE DIGITS IN THE LÜROTH EXPANSIONS ⋮ The fractional dimensional theory in Lüroth expansion ⋮ The efficiency of approximating real numbers by Lüroth expansion

Cites Work

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• On approximation by Lüroth series
• Representations of real numbers by infinite series
• Ergodic properties of generalized Lüroth series
• The error-sum function of continued fractions

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