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arXiv · 1610.00128

A note on rational points near planar curves

Sam Chow
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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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Sam Chow. 2016-10-01. A note on rational points near planar curves. https://arxiv.org/abs/1610.00128

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