Yasufumi Hashimoto, Masato Wakayama
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. 1
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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. 1
Key concepts: Selberg trace formula, Riemann zeta function, Arithmetic zeta function, Mathematics, Analytic continuation, Prime zeta function, Riemann hypothesis, Functional equation