The Selberg Trace Formula for Hecke operators on cocompact Kleinian groups
classification
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math.SP
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formulahecketracecocompactgivegroupskleinianoperators
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We compute the Selberg trace formula for Hecke operators (also called the trace formula for modular correspondences) in the context of cocompact Kleinian groups with finite-dimentional unitary representations. We give some applications to the distribution of Hecke eigenvalues, and give an analogue of Huber's theorem.
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