Determinant Expression of Selberg Zeta Functions. I
Determinant Expression of Selberg Zeta Functions. I
We show that for ${\text {PSL}}(2,{\mathbf {R}})$ and its congruence subgroup, the Selberg zeta function with its gamma factors is expressed as the determinant of the Laplacian. All the gamma factors are calculated explicitly. We also give an explicit computation to the contribution of the continuous spectrum to the determinant …