A note on Diophatine approximation in $\rm{SL}_2(\mathbb{R})$
Number Theory
2013-04-18 v1 Dynamical Systems
Abstract
We prove a quantitative version of the following statement: the unipotent flow orbit of a typical lattice in is dense. Our quantitative result uses A. Weil's bounds for Kloostermann sums.
Keywords
Cite
@article{arxiv.1304.4842,
title = {A note on Diophatine approximation in $\rm{SL}_2(\mathbb{R})$},
author = {Nikolay Moshchevitin},
journal= {arXiv preprint arXiv:1304.4842},
year = {2013}
}
Comments
5 pages