The Selberg trace formula as a Dirichlet series
Number Theory
2016-06-21 v2
Abstract
We explore an idea of Conrey and Li of expressing the Selberg trace formula as a Dirichlet series. We describe two applications, including an interpretation of the Selberg eigenvalue conjecture in terms of quadratic twists of certain Dirichlet series, and a formula for an arithmetically weighted sum of the complete symmetric square L-functions associated to cuspidal Maass newforms of squarefree level N>1.
Keywords
Cite
@article{arxiv.1509.04323,
title = {The Selberg trace formula as a Dirichlet series},
author = {Andrew R. Booker and Min Lee},
journal= {arXiv preprint arXiv:1509.04323},
year = {2016}
}