A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field
| dc.creator | Taniguchi, Takashi | |
| dc.date | 2002-03-14 | |
| dc.date.accessioned | 2026-07-07T04:47:03Z | |
| dc.date.available | 2026-07-07T04:47:03Z | |
| dc.description | Let $k$ be a function field of one variable over a finite field with the characteristic not equal to two. In this paper, we consider the prehomogeneous representation of the space of binary quadratic forms over $k$. We have two main results. The first result is on the principal part of the global zeta function associated with the prehomogeneous vector space. The second result is on a mean value theorem for degree zero divisor class groups of quadratic extensions over $k$, which is a consequence of the first one. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203132 | |
| dc.identifier | http://arxiv.org/abs/math/0203132 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63561 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41 | |
| dc.title | A mean value theorem for orders of degree zero divisor class groups of quadratic extensions over a function field | |
| dc.type | text |