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arXiv · 1304.4842

A note on Diophatine approximation in $\rm{SL}_2(\mathbb{R})$

Nikolay Moshchevitin
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Abstract

We prove a quantitative version of the following statement: the unipotent flow orbit of a typical lattice in $\rm{SL}_2(\mathbb{R})/\rm{SL}_2(\mathbb{Z})$ is dense. Our quantitative result uses A. Weil's bounds for Kloostermann sums.

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Nikolay Moshchevitin. 2013-04-17. A note on Diophatine approximation in $\rm{SL}_2(\mathbb{R})$. https://arxiv.org/abs/1304.4842

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