Detailed Information
Cited 2 time in 
Cited 2 time in 
Cited 2 time in
Metadata Downloads
Kurzweil type metrical Diophantine properties in the field of formal Laurent seriesopen access
- Authors
- Kim, Dong Han; Tan, Bo; Wang, Baowei; Xu, Jian
- Issue Date
- 15-Nov-2013
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Inhomogeneous Diophantine approximation; Formal Laurent series; Hausdorff dimension
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.407, no.2, pp 250 - 262
- Pages
- 13
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 407
- Number
- 2
- Start Page
- 250
- End Page
- 262
- ISSN
- 0022-247X
1096-0813
- Abstract
- In this article, we consider Diophantine properties of the orbit of irrational rotations over the field of formal Laurent series F-q((X-1)). More precisely, for a given f is an element of F-q((X-1)) and a sequence (r(n)), we investigate the size of the set {g is an element of F-q((X-1)): [GRAPHICS] vertical bar{Qf} - g vertical bar < r(n) for infinitely many n is an element of N} in the sense of the Haar measure and the Hausdorff dimension. (c) 2013 Elsevier Inc. All rights reserved.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Kim, Dong Han
- College of Education (Department of Mathematics Education)