Existence and Weyl's law for spherical cusp forms

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Let G be a split adjoint semisimple group over Q and K a maximal compact subgroup of the real points G(R). We shall give a uniform, short and essentially elementary proof of the Weyl law for cusp forms on congruence quotients of G(R)/K. This proves a conjecture of Sarnak for Q-split groups, previously known only for the case of PGL(n). The key idea amounts to a new type of simple trace formula.

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Number Theory, Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/74739

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503724
 http://arxiv.org/abs/math/0503724

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arXiv