A note on rational points near planar curves

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.

Detalhes bibliográficos
Autor principal: Chow, S
Formato: Journal article
Publicado em: Polskiej Akademii Nauk, Instytut Matematyczny 2017