Numerical evidence toward a 2-adic equivariant "main conjecture"
| dc.creator | Roblot, Xavier-François | |
| dc.creator | Weiss, Alfred | |
| dc.date | 2009-04-24 | |
| dc.date.accessioned | 2026-07-07T13:08:26Z | |
| dc.date.available | 2026-07-07T13:08:26Z | |
| dc.description | Recently Ritter and Weiss introduced an equivariant "main conjecture" than generalizes and refines the Main Conjecture of Iwasawa theory. In this paper, we show that, for the prime 2 and a dihedral extension of order 8 over Q, this conjecture is equivalent to a congruence condition on the coefficients of a power series with 2-adic integral coefficients constructed using the 2-adic L-series associated to the extension. We then verify that this congruence condition holds for the first coefficients in a large number of examples. | |
| dc.identifier | https://arxiv.org/abs/0904.3819 | |
| dc.identifier | http://arxiv.org/abs/0904.3819 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228418 | |
| dc.subject | Number Theory | |
| dc.subject | 11R42; 11R23 | |
| dc.title | Numerical evidence toward a 2-adic equivariant "main conjecture" | |
| dc.type | text |