Rational convex cones and cyclotomic multiple zeta values

Mathematics – Algebraic Geometry

Scientific paper

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Latex, pp.18

Scientific paper

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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