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 |
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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: | https://doi.org/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 |
URI: |
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