Hausdorff dimensions of bounded-type continued fraction sets of Laurent series
type: Item
instance of: scholarly article
title: Hausdorff dimensions of bounded-type continued fraction sets of Laurent series
zbMATH Open document ID: 1112.11037
author: Jun Wu
published in: Finite Fields and their Applications
publication date: 2007-02-14T00:00:00Z
review text: Continued fraction expansion and Diophantine approximation in fields of formal Laurent series have been studied by many researchers. \textit{S. Kristensen} [Math. Proc. Camb. Philos. Soc. 135, No. 2, 255--268 (2003; Zbl 1088.11056)] has studied Hausdorff dimension and Khinchin-type theorems in the field of Laurent series. In this paper the author studies the Hausdorff dimensions of bounded-type continued fraction sets of Laurent series and show that the Texan conjecture is valid in the case of Laurent series.
reviewed by: Sophia L. Kalpazidou
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 11J61
zbMATH DE Number: 5126000
zbMATH Keywords: continued fraction
zbMATH Keywords: formal Laurent series
zbMATH Keywords: Hausdorff dimension
MaRDI profile type: Publication
full work available at URL: j.ffa.2005.05.003
OpenAlex ID: W1989437598
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DOI: 10.1016/J.FFA.2005.05.003
description: scientific article; zbMATH DE number 5126000