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- W3100444949 abstract "For cofinite Kleinian groups, with finite-dimensional unitary representations, we derive the Selberg trace formula. As an application we define the corresponding Selberg zeta-function and compute its divisor, thus generalizing results of Elstrodt, Grunewald and Mennicke to non-trivial unitary representations. We show that the presence of cuspidal elliptic elements sometimes adds ramification point to the zeta function. In fact, if D is the ring of Eisenstein integers, then the Selberg zeta-function of PSL(2,D) contains ramification points and is the sixth-root of a meromorphic function." @default.
- W3100444949 created "2020-11-23" @default.
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- W3100444949 date "2005-05-31" @default.
- W3100444949 modified "2023-09-24" @default.
- W3100444949 title "The Selberg trace formula and Selberg zeta-function for cofinite Kleinian groups with finite-dimensional unitary representations" @default.
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- W3100444949 doi "https://doi.org/10.1007/s00209-005-0806-9" @default.
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