English

Rational points on the inner product cone via the hyperbola method

Number Theory 2017-01-26 v1

Abstract

A strong quantitative form of Manin's conjecture is established for a certain variety in biprojective space. The singular integral in an application of the circle method involves the third power of the integral sine function, and is evaluated in closed form.

Keywords

Cite

@article{arxiv.1701.07278,
  title  = {Rational points on the inner product cone via the hyperbola method},
  author = {Valentin Blomer and Jörg Brüdern},
  journal= {arXiv preprint arXiv:1701.07278},
  year   = {2017}
}
R2 v1 2026-06-22T17:59:50.427Z