Weyl's law in the theory of automorphic forms

Details Weyl's law in the theory of automorphic forms Weyl's law in the theory of automorphic forms

2007-10-11

arxiv.org/abs/0710.2319v1

Mathematics

Spectral Theory

survey article

Scientific paper

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.

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