Weyl's law in the theory of automorphic forms

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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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Spectral Theory, Number Theory, 58J50; 22E40

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http://salesiana.dossiersoluciones.com/handle/123456789/139855

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.2319
 http://arxiv.org/abs/0710.2319

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arXiv