Badly approximable \(p\)-adic integers
type: Item
instance of: scholarly article
title: Badly approximable \(p\)-adic integers
zbMATH Open document ID: 0856.11035
DOI: 10.1007/BF02880359
author: Yanyan Li
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1996-11-10T00:00:00Z
review text: The main result of this paper is a construction of a \([0,1]\)-valued dimension function on the \(p\)-adic integers analogous to Hausdorff dimension in \(\mathbb{R}\). The author shows that with respect to this function the dimension of the set of badly approximable \(p\)-adic integers is 1.
Mathematics Subject Classification ID: 11K60
Mathematics Subject Classification ID: 11J83
Mathematics Subject Classification ID: 11J61
zbMATH DE Number: 903345
zbMATH Keywords: diophantine approximation
zbMATH Keywords: dimension function
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: badly approximable \(p\)-adic integers
reviewed by: Jaroslav Hančl
MaRDI profile type: Publication
cites work: The Hausdorff dimension of some exceptional sets of \(p\)-adic integer matrices
cites work: Q5515914
cites work: Q3876158
cites work: Q5799972
cites work: Q5848299
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description: scientific article; zbMATH DE number 903345