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Budarina, Natalia and Dickinson, Detta (2009) Diophantine approximation on non‐degenerate curves with non‐monotonic error function. Bulletin of the London Mathematical Society, 41 (1). pp. 137-146. ISSN 1469-2120
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Abstract
It is shown that a non‐degenerate curve in ℝn satisfies a convergent Groshev theorem with a non‐monotonic error function. In other words it is shown that if a volume sum converges the set of points lying on the curve which satisfy a Diophantine condition has Lebesgue measure zero.
| Item Type: | Article |
|---|---|
| Keywords: | Diophantine approximation; non‐degenerate curves; non‐monotonic error function; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 10115 |
| Identification Number: | 10.1112/blms/bdn116 |
| Depositing User: | Dr. Detta Dickinson |
| Date Deposited: | 18 Oct 2018 13:29 |
| Journal or Publication Title: | Bulletin of the London Mathematical Society |
| Publisher: | London Mathematical Society |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10115 |
| 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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