On the exact rate of convergence of digits in Engel expansions
type: Item
instance of: scholarly article
title: On the exact rate of convergence of digits in Engel expansions
author: Lulu Fang
author: Lei Shang
published in: Journal of Mathematical Analysis and Applications
publication date: 2024-05-23T00:00:00Z
review text: The authors consider sets of irrational number \(x\in(0,1)\) with given growth rates of digits in their Engel expansion. For these sets a Baire classification is given and their Hausdorff dimension is determined. The paper improves results found in [\textit{J. Liu}, Fractals 28, No. 7, Article ID 2050140, 9 p. (2020; Zbl 1495.11094)].
reviewed by: Jörg Neunhäuserer
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 7852346
zbMATH Keywords: Engel expansions
zbMATH Keywords: rate of convergence of digits
zbMATH Keywords: residual set
zbMATH Keywords: Hausdorff dimension
MaRDI profile type: Publication
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DOI: 10.1016/J.JMAA.2023.127726
description: scientific article; zbMATH DE number 7852346