Weyl's law in the theory of automorphic forms
Spectral Theory
2007-10-12 v1 Number Theory
Abstract
For a compact Riemannian manifold, Weyl's law describes the asymptotic behavior of the counting function of the eigenvalues of the associated Laplace operator. In this paper we discuss Weyl's law in the context of automorphic forms. The underlying manifolds are locally symmetric spaces of finite volume. In the non-compact case Weyl's law is closely related to the problem of existence of cusp forms.
Keywords
Cite
@article{arxiv.0710.2319,
title = {Weyl's law in the theory of automorphic forms},
author = {Werner Mueller},
journal= {arXiv preprint arXiv:0710.2319},
year = {2007}
}
Comments
survey article