k-hypermonogenic automorphic forms
| dc.creator | Constales, Denis | |
| dc.creator | Krausshar, Rolf Soeren | |
| dc.creator | Ryan, John | |
| dc.date | 2006-02-22 | |
| dc.date | 2006-03-31 | |
| dc.date.accessioned | 2026-07-07T07:03:41Z | |
| dc.date.available | 2026-07-07T07:03:41Z | |
| dc.description | In this paper we deal with monogenic and $k$-hypermonogenic automorphic forms on arithmetic subgroups of the Ahlfors-Vahlen group. Monogenic automorphic forms are exactly the 0-hypermonogenic automorphic forms. In the first part we establish an explicit relation between $k$-hypermonogenic automorphic forms and Maaß wave forms. In particular, we show how one can construct from any arbitrary non-vanishing monogenic automorphic form a Clifford algebra valued Maaß wave form. In the second part of the paper we compute the Fourier expansion of the $k$-hypermonogenic Eisenstein series which provide us with the simplest non-vanishing examples of $k$-hypermonogenic automorphic forms. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602500 | |
| dc.identifier | http://arxiv.org/abs/math/0602500 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109070 | |
| dc.subject | Number Theory | |
| dc.subject | Complex Variables | |
| dc.subject | 11F03; 11F36; 11F30; 11F37; 30G35 | |
| dc.title | k-hypermonogenic automorphic forms | |
| dc.type | text |