A note on Diophatine approximation in rm{SL}₂(mathbb{R})
classification
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math.DS
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mathbbquantitativeapproximationboundsdensediophatineflowfollowing
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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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