The Selberg Trace Formula for Hecke operators on cocompact Kleinian groups

Details The Selberg Trace Formula for Hecke operators on cocompact Kleinian groups The Selberg Trace Formula for Hecke operators on cocompact Kleinian groups

2007-10-31

arxiv.org/abs/0710.5787v1

Mathematics

Number Theory

Scientific paper

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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