A note on rational points near planar curves
Number Theory
2016-10-04 v1
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.
Cite
@article{arxiv.1610.00128,
title = {A note on rational points near planar curves},
author = {Sam Chow},
journal= {arXiv preprint arXiv:1610.00128},
year = {2016}
}