A spectral correspondence for Maass waveforms
| dc.creator | Bolte, Jens | |
| dc.creator | Johansson, Stefan | |
| dc.date | 1998-05-05 | |
| dc.date.accessioned | 2026-07-07T05:24:41Z | |
| dc.date.available | 2026-07-07T05:24:41Z | |
| dc.description | Let O^1 be a (cocompact) Fuchsian group, given as the group of units of norm one in a maximal order O in an indefinite quaternion division algebra over Q. Using the (classical) Selberg trace formula, we show that the eigenvalues of the automorphic Laplacian for O^1 and their multiplicities coincide with the eigenvalues and multiplicities of the Laplacian defined on the Maass newforms for the Hecke congruence group Gamma_0(d), when d is the discriminant of the maximal order O. We also show the equality of the traces of certain Hecke operators defined on the Laplace eigenspaces for O^1 and the newforms of level d, respectively. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/9805018 | |
| dc.identifier | http://arxiv.org/abs/math/9805018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76896 | |
| dc.subject | Spectral Theory | |
| dc.subject | Number Theory | |
| dc.subject | 11F72 (Primary); 30F35, 11F12, 11F32 (Secondary) | |
| dc.title | A spectral correspondence for Maass waveforms | |
| dc.type | text |