Geodesic
A note on rational points near planar curves
Sam Chow1
1 Department of Mathematics University of York Heslington, York, YO10 5DD United Kingdom
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.
DOI : 10.4064/aa8622-11-2016
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

Sam Chow 1

1 Department of Mathematics University of York Heslington, York, YO10 5DD United Kingdom 
@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/}
}
TY  - JOUR
AU  - Sam Chow
TI  - A note on rational points near planar curves
JO  - Acta Arithmetica
PY  - 2017
SP  - 393
EP  - 396
VL  - 177
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa8622-11-2016/
DO  - 10.4064/aa8622-11-2016
LA  - en
ID  - 10_4064_aa8622_11_2016
ER  - 
%0 Journal Article
%A Sam Chow
%T A note on rational points near planar curves
%J Acta Arithmetica
%D 2017
%P 393-396
%V 177
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa8622-11-2016/
%R 10.4064/aa8622-11-2016
%G en
%F 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. http://geodesic.mathdoc.fr/articles/10.4064/aa8622-11-2016/

Cité par Sources :