2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72871In 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.Latex, pp.18Algebraic GeometryNumber TheoryRational convex cones and cyclotomic multiple zeta valuestext