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 |
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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: | 18 Dec 2024 00:07 |
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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