Large and moderate deviation principles for alternating Engel expansions

DOI10.1016/j.jnt.2015.04.008zbMath1317.60023OpenAlexW934752286MaRDI QIDQ2352018

Lulu Fang

Publication date: 29 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.04.008

zbMATH Keywords

large deviationsmoderate deviationsalternating Engel expansions

Mathematics Subject Classification ID

Large deviations (60F10) Other number representations (11A67)

Related Items (9)

Large deviation results and applications to the generalized Cramér model ⋮ Hausdorff dimension of certain sets arising in Engel expansions ⋮ Localized growth speed of the digits in Engel expansions ⋮ On the error-sum function of pierce expansions ⋮ Large and moderate deviation principles for Engel continued fractions ⋮ On certain maps defined by infinite sums ⋮ Large and moderate deviation principles for the Erdős-Kac theorem in function fields ⋮ Unnamed Item ⋮ A Note on Rényi's ‘Record’ Problem and Engel's Series

Cites Work

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• On the large deviations for Engel's, Sylvester's series and Cantor's products
• The metric theory of the Ostrogradskii algorithm
• Moderate deviation principles for Engel's, Sylvester's series and Cantor's products
• New bounds on the length of finite pierce and Engel series
• Metric properties of alternating Oppenheim expansions
• On a problem of Alfréd Rényi

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