Iterated integrals associated with colored rooted trees

Hanamichi Kawamura

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arXiv · 2209.13293

Iterated integrals associated with colored rooted trees

Hanamichi Kawamura

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Abstract

In this paper, we introduce iterated integrals associated with colored rooted trees and give proofs for the shuffle relations for $\boldsymbol{p}$-adic finite and $t$-adic symmetric polylogarithms. This method generalizes the theory of the finite multiple zeta values associated with $2$-colored rooted trees introduced by Ono.

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Hanamichi Kawamura. 2022-09-27. Iterated integrals associated with colored rooted trees. https://arxiv.org/abs/2209.13293

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