Chow, Samuel Khai Ho (2017) A note on rational points near planar curves. Acta Arithmetica. pp. 393-396. ISSN: 1730-6264
Abstract
Under fairly natural assumptions, Huang counted the number of rational points lying close to an arc of a planar curve. He obtained upper and lower bounds of the correct order of magnitude, and conjectured an asymptotic formula. In this note, we establish the conjectured asymptotic formula.
Metadata
| Item Type: | Article |
|---|---|
| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
| Keywords: | Metric diophantine approximation,Rational points near curves |
| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Funding Information: | Funder Grant number EPSRC EP/J018260/1 |
| Depositing User: | Pure (York) |
| Date Deposited: | 17 Nov 2016 10:13 |
| Last Modified: | 17 Sep 2025 00:11 |
| Published Version: | https://doi.org/10.4064/aa8622-11-2016 |
| Status: | Published |
| Refereed: | Yes |
| Identification Number: | 10.4064/aa8622-11-2016 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:107616 |
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