A note on rational points near planar curves
Acta Arithmetica, Tome 177 (2017) no. 4, pp. 393-396
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
under fairly natural assumptions huang counted number rational points lying close arc planar curve obtained upper lower bounds correct order magnitude conjectured asymptotic formula note establish conjectured asymptotic formula
Affiliations des auteurs :
Sam Chow 1
@article{10_4064_aa8622_11_2016,
author = {Sam Chow},
title = {A note on rational points near planar curves},
journal = {Acta Arithmetica},
pages = {393--396},
publisher = {mathdoc},
volume = {177},
number = {4},
year = {2017},
doi = {10.4064/aa8622-11-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8622-11-2016/}
}
Sam Chow. A note on rational points near planar curves. Acta Arithmetica, Tome 177 (2017) no. 4, pp. 393-396. doi: 10.4064/aa8622-11-2016
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