Uniformly counting rational points on conics
Volume 166 / 2014
Acta Arithmetica 166 (2014), 1-13
MSC: Primary 11D45; Secondary 14G05.
DOI: 10.4064/aa166-1-1
Abstract
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.