A Quantitative Oppenheim Theorem for generic ternary quadratic forms

Anish Ghosh; Dubi Kelmer

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arXiv · 1606.02388

A Quantitative Oppenheim Theorem for generic ternary quadratic forms

Anish Ghosh·Dubi Kelmer

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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.

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Anish Ghosh, Dubi Kelmer. 2016-06-08. A Quantitative Oppenheim Theorem for generic ternary quadratic forms. https://arxiv.org/abs/1606.02388

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