@article{2977f7ab6d2244bf8d937978cd816a9d,
title = "Effective estimates on indefinite ternary forms",
abstract = "We give an effective proof of a theorem of Dani and Margulis regarding values of indefinite ternary quadratic forms at primitive integer vectors. The proof uses an effective density-type result for orbits of the groups SO(2, 1) on SL(3, ℝ)/SL(3, ℤ).",
author = "Elon Lindenstrauss and Gregory Margulis",
note = "Funding Information: ∗ E. L. was supported in part by the ERC (AdG Grant 267259), the ISF (983/09) and the NSF (DMS-0800345). ∗∗ G. M. was supported in part by the NSF (DMS-0801195 and DMS-1265695). Received June 19, 2013 and in revised form February 9, 2014 Publisher Copyright: {\textcopyright} 2014, Hebrew University of Jerusalem.",
year = "2014",
month = oct,
doi = "https://doi.org/10.1007/s11856-014-1110-3",
language = "American English",
volume = "203",
pages = "445--499",
journal = "Israel Journal of Mathematics",
issn = "0021-2172",
publisher = "Springer New York",
number = "1",
}