English

Upper bounds for integer solutions to a system of two bilinear forms

Number Theory 2014-12-12 v1

Abstract

We show that the number of integer solutions for a pair of bilinear equations in at least 2*6 variables has (up to logarithms) the expected upper bound unless there is a structural reason why it is not the case.

Keywords

Cite

@article{arxiv.1412.3590,
  title  = {Upper bounds for integer solutions to a system of two bilinear forms},
  author = {Eugen Keil},
  journal= {arXiv preprint arXiv:1412.3590},
  year   = {2014}
}

Comments

14 pages

R2 v1 2026-06-22T07:27:35.705Z