A note on rational points near planar curves
Volume 177 / 2017
Acta Arithmetica 177 (2017), 393-396
MSC: Primary 11J83; Secondary 11J13.
DOI: 10.4064/aa8622-11-2016
Published online: 22 February 2017
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.
