Existence and Weyl's law for spherical cusp forms

dc.creatorLindenstrauss, Elon
dc.creatorVenkatesh, Akshay
dc.date2005-03-31
dc.date.accessioned2026-07-07T05:18:40Z
dc.date.available2026-07-07T05:18:40Z
dc.descriptionLet 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.
dc.identifierhttps://arxiv.org/abs/math/0503724
dc.identifierhttp://arxiv.org/abs/math/0503724
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74739
dc.subjectNumber Theory
dc.subjectSpectral Theory
dc.titleExistence and Weyl's law for spherical cusp forms
dc.typetext

Files

Collections