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arXiv · 1704.06387

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

Minoru Hirose·Kohei Iwaki·Nobuo Sato·Koji Tasaka
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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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Minoru Hirose, Kohei Iwaki, Nobuo Sato, Koji Tasaka. 2017-04-21. Duality/Sum formulas for iterated integrals and their application to multiple zeta values. https://arxiv.org/abs/1704.06387

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