Logarithm laws for one parameter unipotent flows

Published 26 May 2011 in math.DS and math.NT | (1105.5325v3)

Abstract: We prove logarithm laws and shrinking target properties for unipotent flows on the homogenous space $\Gamma\bs G$ with $G=\SL_2(\bbR)^{{r_1}\times\SL_2(\bbC)^{r_2}$} and $\Gamma\subseteq G$ an irreducible non-uniform lattice. Our method relies on certain estimates for the norms of (incomplete) theta series in this setting.

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