Kurzweil type metrical Diophantine properties in the field of formal Laurent series

Dong Han Kim, Bo Tan, Baowei Wang, Jian Xu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this article, we consider Diophantine properties of the orbit of irrational rotations over the field of formal Laurent series Fq((X-1)). More precisely, for a given f∈Fq((X-1)) and a sequence (rn), we investigate the size of the set {g∈Fq((X-1)):mindegQ=n|{Qf}-g|<rn forinfinitelymanyn∈N} in the sense of the Haar measure and the Hausdorff dimension.

Original languageEnglish
Pages (from-to)250-262
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume407
Issue number2
DOIs
StatePublished - 15 Nov 2013

Keywords

  • Formal Laurent series
  • Hausdorff dimension
  • Inhomogeneous Diophantine approximation

Fingerprint

Dive into the research topics of 'Kurzweil type metrical Diophantine properties in the field of formal Laurent series'. Together they form a unique fingerprint.

Cite this