Effective Erdős-Wintner theorems for digital expansions

DOI10.1016/j.jnt.2021.04.006zbMath1479.11170arXiv2009.05435OpenAlexW3168835519WikidataQ113870358 ScholiaQ113870358MaRDI QIDQ1981595

Johann Verwee, Michael Drmota

Publication date: 6 September 2021

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

Full work available at URL: https://arxiv.org/abs/2009.05435

zbMATH Keywords

digital expansionsErdős-Wintner theorem

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Other number representations (11A67) Distribution functions associated with additive and positive multiplicative functions (11N60)

Cites Work

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• On a problem of Gelfond: the sum of digits of prime numbers
• Distribution properties of \(G\)-additive functions
• Effective Erdős-Wintner theorems
• The joint distribution of \(Q\)-additive functions on polynomials over finite fields
• The divergence of non-harmonic gap series
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• CONGRUENCES DE SOMMES DE CHIFFRES DE VALEURS POLYNOMIALES
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• Analysis of digital functions and applications
• Fonctions digitales le long des nombres premiers
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• An asymptotic property of a gap sequence
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