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Beresnevich, Victor, Bernik, Vasili, Dickinson, Detta and Dodson, M. M. (1999) The Khintchine–Groshev theorem for planar curves. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 455 (1988). pp. 3053-3063. ISSN 1364-5021
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Abstract
The analogue of the classical Khintchine–Groshev theorem, a fundamental result in metric Diophantine approximation, is established for smooth planar curves with non–vanishing curvature almost everywhere.
| Item Type: | Article |
|---|---|
| Keywords: | metric Diophantine approximation; linear forms; regular systems; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10122 |
| Identification Number: | 10.1098/rspa.1999.0439 |
| Depositing User: | Dr. Detta Dickinson |
| Date Deposited: | 19 Oct 2018 13:32 |
| Journal or Publication Title: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Publisher: | The Royal Society |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10122 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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