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.
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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) | ||||
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Depositing User: | Pure (York) | ||||
Date Deposited: | 17 Nov 2016 10:13 | ||||
Last Modified: | 06 Dec 2023 11:35 | ||||
Published Version: | https://doi.org/10.4064/aa8622-11-2016 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.4064/aa8622-11-2016 |
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