Geodesic
Uniformly counting rational points on conics
Efthymios Sofos1
1 School of Mathematics University of Bristol Bristol, BS8 1TW, United Kingdom
Acta Arithmetica, Tome 166 (2014) no. 1, pp. 1-13

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over $\mathbb {Q}$. The estimate is uniform in the coefficients of the underlying quadratic form.
DOI : 10.4064/aa166-1-1
Keywords: provide asymptotic estimate number rational points bounded height non singular conic mathbb estimate uniform coefficients underlying quadratic form

Efthymios Sofos 1

1 School of Mathematics University of Bristol Bristol, BS8 1TW, United Kingdom 
@article{10_4064_aa166_1_1,
     author = {Efthymios Sofos},
     title = {Uniformly counting rational points on conics},
     journal = {Acta Arithmetica},
     pages = {1--13},
     publisher = {mathdoc},
     volume = {166},
     number = {1},
     year = {2014},
     doi = {10.4064/aa166-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa166-1-1/}
}
TY  - JOUR
AU  - Efthymios Sofos
TI  - Uniformly counting rational points on conics
JO  - Acta Arithmetica
PY  - 2014
SP  - 1
EP  - 13
VL  - 166
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa166-1-1/
DO  - 10.4064/aa166-1-1
LA  - en
ID  - 10_4064_aa166_1_1
ER  - 
%0 Journal Article
%A Efthymios Sofos
%T Uniformly counting rational points on conics
%J Acta Arithmetica
%D 2014
%P 1-13
%V 166
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa166-1-1/
%R 10.4064/aa166-1-1
%G en
%F 10_4064_aa166_1_1
Efthymios Sofos. Uniformly counting rational points on conics. Acta Arithmetica, Tome 166 (2014) no. 1, pp. 1-13. doi: 10.4064/aa166-1-1

Cité par Sources :