Computing special values of partial zeta functions
| dc.creator | Chinta, Gautam | |
| dc.creator | Gunnells, Paul E. | |
| dc.creator | Sczech, Robert | |
| dc.date | 2000-01-03 | |
| dc.date.accessioned | 2026-07-07T04:33:11Z | |
| dc.date.available | 2026-07-07T04:33:11Z | |
| dc.description | We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the \emph{Eisenstein cocycle} $Ψ$, a group cocycle for $GL_{n} (\Z )$; the special values are computed as periods of $Ψ$, and are expressed in terms of generalized Dedekind sums. We conclude with some numerical examples for cubic and quartic fields of small discriminant. | |
| dc.description | 10 pp | |
| dc.identifier | https://arxiv.org/abs/math/0001011 | |
| dc.identifier | http://arxiv.org/abs/math/0001011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58477 | |
| dc.subject | Number Theory | |
| dc.subject | 11F20, 11F75, 11R42, 11Y40 | |
| dc.title | Computing special values of partial zeta functions | |
| dc.type | text |