Rational convex cones and cyclotomic multiple zeta values

Tomohide Terasoma

Rational convex cones and cyclotomic multiple zeta values

代数几何 2007-05-23 v1 数论

作者: Tomohide Terasoma

摘要

In this paper, we introduce zeta values of rational convex cones, which is a generalization of cyclotomic multiple zeta values. These zeta values have integral expressions. The main theorem asserts that zeta values of cones can be expressed as linear combinations of cyclotomic multiple zeta values over some cyclotomic field.

关键词

multiple zeta values zeta functions zeta values and euler sums

引用

@article{arxiv.math/0410306,
  title  = {Rational convex cones and cyclotomic multiple zeta values},
  author = {Tomohide Terasoma},
  journal= {arXiv preprint arXiv:math/0410306},
  year   = {2007}
}

备注

Latex, pp.18

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