Values at s=-1 of L-functions for multiquadratic extensions of number fields, and annililation of the tame kernel
| dc.creator | Sands, Jonathan W. | |
| dc.creator | Simons, Lloyd D. | |
| dc.date | 2006-06-06 | |
| dc.date.accessioned | 2026-07-07T07:16:59Z | |
| dc.date.available | 2026-07-07T07:16:59Z | |
| dc.description | Suppose that $EE$ is a totally real number field which is the composite of all of its subfields $E$ that are relative quadratic extensions of a base field $F$. For each such $E$ with ring of integers $Ø_E$, assume the truth of the Birch-Tate conjecture (which is almost fully established) relating the order of the tame kernel $K_2(Ø_E)$ to the value of the Dedekind zeta function of $E$ at $s=-1$, and assume the same for $F$ as well. Excluding a certain rare situation, we prove the annihilation of $K_2(\Oc_EE)$ by a generalized Stickelberger element in the group ring of the Galois group of $EE/F$. Annihilation of the odd part of this group is proved unconditionally. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606139 | |
| dc.identifier | http://arxiv.org/abs/math/0606139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113786 | |
| dc.subject | Number Theory | |
| dc.title | Values at s=-1 of L-functions for multiquadratic extensions of number fields, and annililation of the tame kernel | |
| dc.type | text |