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Duality/Sum formulas for iterated integrals and their application to multiple zeta values

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arxiv 1704.06387 v1 pith:YAITVH2T submitted 2017-04-21 math.NT math.CA

Minoru Hirose , Kohei Iwaki , Nobuo Sato , Koji Tasaka This is my paper
classification math.NTmath.CA
keywords integralsiterateddualityformulamultiplevalueszetaapplication
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abstract

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.

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