arXiv:0704.0662 Abstract | arXiv Analytics

arXiv:0704.0662 [math.NT]Abstract References Reviews Resources

Bounds for Multiplicities of Unitary Representations of Cohomological Type in Spaces of Cusp Forms

Published 2007-04-04Version 1

Let $\Goo$ be a semisimple real Lie group with unitary dual $\Ghat$. The goal of this note is to produce new upper bounds for the multiplicities with which representations $\pi \in \Ghat$ of cohomological type appear in certain spaces of cusp forms on $\Goo$.

Comments: submitted

Categories: math.NT, math.RT

Subjects: 22E40, 11F75, 11F70

Keywords: cusp forms, unitary representations, multiplicities, semisimple real lie group, unitary dual

Related articles: Most relevant | Search more

arXiv:1401.0198 [math.NT] (Published 2013-12-31, updated 2014-07-27)

Whittaker-Fourier coefficients of cusp forms on $\widetilde{Sp}_n$: reduction to a local statement

Erez Lapid, Zhengyu Mao

arXiv:2209.00488 [math.NT] (Published 2022-09-01)

Scalar-valued depth two Eichler-Shimura Integrals of Cusp Forms

Tobias Magnusson, Martin Raum

arXiv:0712.4315 [math.NT] (Published 2007-12-28)