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Rational convex cones and cyclotomic multiple zeta values

Tomohide Terasoma
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Abstract

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.

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Tomohide Terasoma. 2004-10-13. Rational convex cones and cyclotomic multiple zeta values. https://arxiv.org/abs/math/0410306

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