On the zeta functions of prehomogeneous vector spaces for pair of simple algebras
| dc.creator | Taniguchi, Takashi | |
| dc.date | 2004-03-16 | |
| dc.date.accessioned | 2026-07-07T05:06:26Z | |
| dc.date.available | 2026-07-07T05:06:26Z | |
| dc.description | In this paper, we consider the prehomogeneous vector space for pair of simple algebras which are $k$-forms of the $D_4$ type and the $E_6$ type. We mainly study the non-split cases. The main purpose of this paper is to determine the principal parts of the global zeta functions associated with these spaces in the non-split cases. We also give a description of the sets of rational orbits of these spaces, which suggests the expected density theorems arising from the properties of these zeta functions. | |
| dc.description | 20 pages, AMS LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0403253 | |
| dc.identifier | http://arxiv.org/abs/math/0403253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70469 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11M41 | |
| dc.title | On the zeta functions of prehomogeneous vector spaces for pair of simple algebras | |
| dc.type | text |