Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang, Lei Yang
Published 2023-05-29Version 1
We prove an effective version of the Oppenheim conjecture with a polynomial error rate. The proof is based on an effective equidistribution theorem which in turn relies on recent progress towards restricted projection problem.
Oppenheim conjecture for pairs consisting of a linear form and a quadratic form
Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$
Quantitative Version of the Oppenheim Conjecture for Inhomogeneous Quadratic Forms
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