### A shuffle product formula for generalized iterated integrals

**Joyner, S ***(Brandeis University)*

Tuesday 09 April 2013, 15:00-16:00

Seminar Room 1, Newton Institute

#### Abstract

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.

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