A shuffle product formula for generalized iterated integrals

Duration: 53 mins 48 secs
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Description: Joyner, S (Brandeis University)
Tuesday 09 April 2013, 15:00-16:00
 
Created: 2013-04-10 10:29
Collection: Grothendieck-Teichmüller Groups, Deformation and Operads
Publisher: Isaac Newton Institute
Copyright: Joyner, S
Language: eng (English)
 
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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