We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over ℚ. The estimate is uniform in the coefficients of the underlying quadratic form.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-1,
author = {Efthymios Sofos},
title = {Uniformly counting rational points on conics},
journal = {Acta Arithmetica},
volume = {166},
year = {2014},
pages = {1-13},
zbl = {06360636},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-1}
}
Efthymios Sofos. Uniformly counting rational points on conics. Acta Arithmetica, Tome 166 (2014) pp. 1-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-1/