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arXiv · 1604.02087

A quantitative Oppenheim Theorem for generic diagonal quadratic forms

Jean Bourgain
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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

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Jean Bourgain. 2016-04-07. A quantitative Oppenheim Theorem for generic diagonal quadratic forms. https://arxiv.org/abs/1604.02087

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