Computing special values of partial zeta functions

Gautam Chinta; Paul E. Gunnells; Robert Sczech

Computing special values of partial zeta functions

数论 2007-05-23 v1

作者: Gautam Chinta , Paul E. Gunnells , Robert Sczech

摘要

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} $\Psi$ , a group cocycle for $GL_{n} (\Z )$ ; the special values are computed as periods of $\Psi$ , and are expressed in terms of generalized Dedekind sums. We conclude with some numerical examples for cubic and quartic fields of small discriminant.

关键词

zeta functions zeta values and euler sums

引用

@article{arxiv.math/0001011,
  title  = {Computing special values of partial zeta functions},
  author = {Gautam Chinta and Paul E. Gunnells and Robert Sczech},
  journal= {arXiv preprint arXiv:math/0001011},
  year   = {2007}
}

备注

10 pp

Computing special values of partial zeta functions

摘要

关键词

引用

备注

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