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 language | English |
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Pages (from-to) | 250-262 |
Number of pages | 13 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 407 |
Issue number | 2 |
DOIs | |
State | Published - 15 Nov 2013 |
Keywords
- Formal Laurent series
- Hausdorff dimension
- Inhomogeneous Diophantine approximation