Computing special values of partial zeta functions

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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.
10 pp

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Number Theory, 11F20, 11F75, 11R42, 11Y40

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http://salesiana.dossiersoluciones.com/handle/123456789/58477

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001011
 http://arxiv.org/abs/math/0001011

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arXiv