(1) Graduate School of Mathematics, Kyushu University, 6-10-1, Hakozaki, Fukuoka 812-8581, Japan;(2) Faculty of Mathematics, Kyushu University, 6-10-1, Hakozaki, Fukuoka 812-8581, Japan
Abstract:
We introduce a Selberg type zeta function of two variables which interpolates several higher Selberg zeta functions. The analytic continuation, the functional equation and the determinant expression of this function via the Laplacian on a Riemann surface are obtained.Mathematics Subject Classifications (2000). Primary 11M36, Secondary 33B15
