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A shuffle product formula for generalized iterated integrals

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Grothendieck-Teichmller Groups, Deformation and Operads

In generalized iterated integrals, one can integrate complex powers of certain holomorphic 1-forms on Riemann surfaces. In this talk, I will present a shuffle product formula on such integrals. Applications will include expressions of Dedekind zeta functions of abelian number fields as series of certain polyzeta functions, as well as identities involving the Riemann zeta function.

This talk is part of the Isaac Newton Institute Seminar Series series.

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