Iterated integrals associated with colored rooted trees

Hanamichi Kawamura

Iterated integrals associated with colored rooted trees

Number Theory 2022-09-28 v1

Authors: Hanamichi Kawamura

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.

Keywords

multiple zeta values phylogenetic trees

Cite

@article{arxiv.2209.13293,
  title  = {Iterated integrals associated with colored rooted trees},
  author = {Hanamichi Kawamura},
  journal= {arXiv preprint arXiv:2209.13293},
  year   = {2022}
}

Comments

23 pages

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