A quantitative Oppenheim theorem for generic ternary quadratic forms

Ghosh, Anish ; Kelmer, Dubi (2017) A quantitative Oppenheim theorem for generic ternary quadratic forms Journal of Modern Dynamics, 12 (1). pp. 1-8. ISSN 1930-532X

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Official URL: http://www.aimsciences.org/article/doi/10.3934/jmd...

Related URL: http://dx.doi.org/10.3934/jmd.2018001

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 [3].

Item Type:Article
Source:Copyright of this article belongs to American Institute of Mathematical Sciences.
Keywords:Values Of Quadratic Forms; Diophantine Approximation; Flows on Homogeneous Spaces
ID Code:114625
Deposited On:05 Jun 2018 09:20
Last Modified:05 Jun 2018 09:20

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