paper

A note on rational points near planar curves

arXiv:1610.00128

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.

A note on rational points near planar curves · wovepaper