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Duality/sum formulas for iterated integrals and their application to multiple zeta values. (English) Zbl 1458.11132

Summary: We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points \(0, 1, z\) and \(\infty\). Generalization of the duality formula and the sum formula for multiple zeta values to the iterated integrals are given.

MSC:

11M32 Multiple Dirichlet series and zeta functions and multizeta values
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
33E20 Other functions defined by series and integrals
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