Effective estimates on indefinite ternary forms

Elon Lindenstrauss; Gregory Margulis

doi:10.1007/s11856-014-1110-3

Effective estimates on indefinite ternary forms

Elon Lindenstrauss^*
, Gregory Margulis

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

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).

Original language	English
Pages (from-to)	445-499
Number of pages	55
Journal	Israel Journal of Mathematics
Volume	203
Issue number	1
DOIs	https://doi.org/10.1007/s11856-014-1110-3
State	Published - Oct 2014

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Publisher Copyright:
© 2014, Hebrew University of Jerusalem.

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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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AB - 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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Effective estimates on indefinite ternary forms

Abstract

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