Values at s=-1 of L-functions for relative quadratic extensions of number fields, and the Fitting ideal of the tame kernel
| dc.creator | Sands, Jonathan W. | |
| dc.date | 2007-02-13 | |
| dc.date.accessioned | 2026-07-07T07:46:38Z | |
| dc.date.available | 2026-07-07T07:46:38Z | |
| dc.description | Fix a relative quadratic extension E/F of totally real number rields and let G denote the Galois group of order 2. Let S be a finite set of primes of F containing the infinite primes and all those which ramify in E, let S_E denote the primes of E and let O_E^S denote the ring of S_E-integers of E. Assume the truth of the 2-part of the Birch-Tate conjecture relating the order of the tame kernel K_2(O_E^S) to the value of the Dedekind zeta function of E at s=-1, and assume the same for F as well. We then prove that the Fitting ideal of K_2(O_E^S) as a Z[G]-module is equal to a generalized Stickelberger ideal. Equality after tensoring with Z[1/2][G] holds unconditionally. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702346 | |
| dc.identifier | http://arxiv.org/abs/math/0702346 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123894 | |
| dc.subject | Number Theory | |
| dc.subject | 11R42 | |
| dc.title | Values at s=-1 of L-functions for relative quadratic extensions of number fields, and the Fitting ideal of the tame kernel | |
| dc.type | text |