# American Institute of Mathematical Sciences

2018, 12: 1-8. doi: 10.3934/jmd.2018001

## A quantitative Oppenheim theorem for generic ternary quadratic forms

 1 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India 2 Department of Mathematics, Boston College, Chestnut Hill, MA 02467-3806, USA

Received  February 27, 2017 Revised  November 10, 2017 Published  December 2017

Fund Project: AG: Partially supported by ISF-UGC. DK: Partially supported by NSF grant DMS-1401747.

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 [3].

Citation: Anish Ghosh, Dubi Kelmer. A quantitative Oppenheim theorem for generic ternary quadratic forms. Journal of Modern Dynamics, 2018, 12: 1-8. doi: 10.3934/jmd.2018001
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