English

A Quantitative Oppenheim Theorem for generic ternary quadratic forms

Number Theory 2016-06-09 v1 Dynamical Systems

Abstract

We prove a quantitative version of Oppenheim's conjecture for generic ternary indefinite quadratic forms. Our results are inspired by and analogous to recent results for diagonal quadratic forms due to Bourgain.

Keywords

Cite

@article{arxiv.1606.02388,
  title  = {A Quantitative Oppenheim Theorem for generic ternary quadratic forms},
  author = {Anish Ghosh and Dubi Kelmer},
  journal= {arXiv preprint arXiv:1606.02388},
  year   = {2016}
}
R2 v1 2026-06-22T14:20:08.749Z