Vaughan, R.C. and Velani, S. (2006) Diophantine approximation on planar curves: the convergence theory. Inventiones Mathematicae, 166 (1). pp. 103-124. ISSN 1432-1297
Abstract
The convergence theory for the set of simultaneously ψ-approximable points lying on a planar curve is established. Our results complement the divergence theory developed in [1] and thereby completes the general metric theory for planar curves.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 19 May 2009 10:45 |
| Last Modified: | 19 May 2009 10:45 |
| Published Version: | http://dx.doi.org/10.1007/s00222-006-0509-9 |
| Status: | Published |
| Publisher: | Springer Verlag |
| Identification Number: | 10.1007/s00222-006-0509-9 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:6391 |
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