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arXiv · 2404.16161

Discrete iterated integrals and cyclic sum formulas

Hanamichi Kawamura
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Abstract

In this paper, we consider a discrete version of iterated integrals by the naive (equally divided) Riemann sum. In particular, basic three formulas for usual iterated integrals are discritized. Moreover, we proved cyclic sum formulas for discrete iterated integrals. They imply the cyclic sum formula for multiple polylogarithms.

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Hanamichi Kawamura. 2024-04-24. Discrete iterated integrals and cyclic sum formulas. https://arxiv.org/abs/2404.16161

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