English

Uniformly counting rational points on conics

Number Theory 2018-07-17 v4

Abstract

We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over the rationals. The estimate is uniform in the coefficients of the underlying quadratic form.

Keywords

Cite

@article{arxiv.1305.0374,
  title  = {Uniformly counting rational points on conics},
  author = {Efthymios Sofos},
  journal= {arXiv preprint arXiv:1305.0374},
  year   = {2018}
}
R2 v1 2026-06-22T00:10:02.480Z