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arXiv · 1509.04323

The Selberg trace formula as a Dirichlet series

Andrew R. Booker·Min Lee
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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.

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Andrew R. Booker, Min Lee. 2015-09-14. The Selberg trace formula as a Dirichlet series. https://arxiv.org/abs/1509.04323

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