Asymptotics of number fields and the Cohen--Lenstra heuristics
| dc.creator | Klüners, Jürgen | |
| dc.date | 2005-12-13 | |
| dc.date.accessioned | 2026-07-07T06:55:07Z | |
| dc.date.available | 2026-07-07T06:55:07Z | |
| dc.description | We study the asymptotics conjecture of Malle for dihedral groups $D_\ell$ of order $2\ell$, where $\ell$ is an odd prime. We prove the expected lower bound for those groups. For the upper bounds we show that there is a connection to class groups of quadratic number fields. The asymptotic behavior of those class groups is predicted by the Cohen--Lenstra heuristics. Under the assumption of this heuristic we are able to prove the expected upper bounds. | |
| dc.identifier | https://arxiv.org/abs/math/0512260 | |
| dc.identifier | http://arxiv.org/abs/math/0512260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106181 | |
| dc.subject | Number Theory | |
| dc.subject | 11R45;11R29;11R32;12F12 | |
| dc.title | Asymptotics of number fields and the Cohen--Lenstra heuristics | |
| dc.type | text |