Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow
Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow
By a transfer operator approach to Maass cusp forms and the Selberg zeta function for cofinite Hecke triangle groups, Möller and the present author found a factorization of the Selberg zeta function into a product of Fredholm determinants of transfer-operator-like families: $$\begin{eqnarray}Z(s)=\det (1-{\mathcal{L}}_{s}^{+})\det (1-{\mathcal{L}}_{s}^{-}).\end{eqnarray}$$ In this article we show that …