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).
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Dedicated to the memory of Joram Lindenstrauss
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).
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Lindenstrauss, E., Margulis, G. Effective estimates on indefinite ternary forms. Isr. J. Math. 203, 445–499 (2014). https://doi.org/10.1007/s11856-014-1110-3
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DOI: https://doi.org/10.1007/s11856-014-1110-3