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
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: |
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: |
|
| 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 |
Repository Staff Only(login required)
 |
Item control page |
Downloads per month over past year
Origin of downloads
Altmetric
Altmetric