On Representation of Integers from Thin Subgroups of SL(2,Z) with Parabolics

Xin Zhang

Let $\Lambda <SL(2,\mathbb{Z})$ be a finitely generated, non-elementary Fuchsian group of the second kind, and $v,w$ be two primitive vectors in ${\mathbb{Z}}^2-(0,0)$. We consider the set…