Zeta-determinant and torsion functions on Riemann surfaces of finite volume |
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| Authors: | Donggeng Gong |
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| Affiliation: | (1) Department of Mathematics, University of Chicago, 5734 S. University Avenue, 60637 Chicago, IL, USA |
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| Abstract: | We define ζ-determinant andL 2-analytic torsion functions for a Riemann surface of finite volume. We use the Selberg trace formula to express these determinant and torsion functions in terms of four Zeta functions which are related to the structure of discrete groups. A new invariant is also obtained. |
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