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

preprint2013arXivOpen access

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

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A note on Diophatine approximation in SL2(R)\rm{SL}_2(\mathbb{R})SL2​(R)

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