Beresnevich, Victor and Bernik, Vasili and 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
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: |
https://doi.org/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 |
| URI: |
|
| 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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