On the Spezialschar of Maass
| dc.creator | Heim, Bernhard | |
| dc.date | 2008-01-11 | |
| dc.date.accessioned | 2026-07-07T08:54:01Z | |
| dc.date.available | 2026-07-07T08:54:01Z | |
| dc.description | Let $M_k^{(n)}$ be the space of Siegel modular forms of degree $n$ and even weight $k$. In this paper firstly a certain subspace $\mathsf{Spez}(M_k^{(2n)})$ the Spezialschar of $M_k^{(2n)}$ is introduced. In the setting of the Siegel three-fold it is proven that this Spezialschar is the Maass Spezialschar. Secondly an embedding of $M_k^{(2)}$ into a direct sum $\oplus_{ν= 0}^{\lfloor \frac{k}{10} \rfloor} \text{Sym}^2 M_{k + 2 ν}$ is given. This leads to a basic characterization of the Spezialschar property. The results of this paper are directly related to the non-vanishing of certain special values of L-functions related to the Gross-Prasad conjecture. This is illustrated by a significant example in the paper. | |
| dc.identifier | https://arxiv.org/abs/0801.1804 | |
| dc.identifier | http://arxiv.org/abs/0801.1804 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145785 | |
| dc.subject | Number Theory | |
| dc.subject | Complex Variables | |
| dc.subject | F11 | |
| dc.title | On the Spezialschar of Maass | |
| dc.type | text |