A quantitative Oppenheim Theorem for generic diagonal quadratic forms
Number Theory
2016-06-15 v2
Abstract
We establish a quantitative version of Oppenheim's conjecture for generic ternary indefinite quadratic forms using an analytic number theory approach. The statements come with power gains and in some cases are essentially optimal
Cite
@article{arxiv.1604.02087,
title = {A quantitative Oppenheim Theorem for generic diagonal quadratic forms},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1604.02087},
year = {2016}
}
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8 pages