The Selberg Trace Formula for Hecke operators on cocompact Kleinian groups
Number Theory
2007-11-01 v1 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0710.5787,
title = {The Selberg Trace Formula for Hecke operators on cocompact Kleinian groups},
author = {Joshua S. Friedman},
journal= {arXiv preprint arXiv:0710.5787},
year = {2007}
}