A mean value theorem for the square of class number times regulator of quadratic extensions
| dc.creator | Taniguchi, Takashi | |
| dc.date | 2004-10-25 | |
| dc.date | 2006-07-03 | |
| dc.date.accessioned | 2026-07-07T06:38:56Z | |
| dc.date.available | 2026-07-07T06:38:56Z | |
| dc.description | Let $k$ be a number field. In this paper, we give a formula for the mean value of the square of class numbers times regulators for certain families of quadratic extensions of $k$ characterized by finitely many local conditions. We approach this by using the theory of the zeta function associated with the space of pair of quaternion algebras. | |
| dc.description | 35 pages, AMS LaTeX; added a reference and rewrote Section 1 | |
| dc.identifier | https://arxiv.org/abs/math/0410531 | |
| dc.identifier | http://arxiv.org/abs/math/0410531 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100917 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41 | |
| dc.title | A mean value theorem for the square of class number times regulator of quadratic extensions | |
| dc.type | text |