Weyl's law for the cuspidal spectrum of SL(n)
| dc.creator | Mueller, Werner | |
| dc.date | 2003-11-19 | |
| dc.date.accessioned | 2026-07-07T05:03:03Z | |
| dc.date.available | 2026-07-07T05:03:03Z | |
| dc.description | Let $Γ$ be a principal congruence subgroup of $SL_n(Z)$ and let $σ$ be an irreducible representation of SO(n). Let $N(T,σ)$ be the counting function of the eigenvalues of the Casimir operator acting in the space of cusp forms for $Γ$ which transform under SO(n) according to $σ$. We prove that the counting function $N(T,σ)$ satisfies Weyl's law as $T\to\infty$. Especially this implies that there exist infinitely many cusp forms for the full modular group $SL_n(Z)$. | |
| dc.description | 56 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311335 | |
| dc.identifier | http://arxiv.org/abs/math/0311335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69261 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.subject | Spectral Theory | |
| dc.subject | 22E40; 58G25 | |
| dc.title | Weyl's law for the cuspidal spectrum of SL(n) | |
| dc.type | text |