t-Adic symmetrization map on the harmonic algebra

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Bachmann, Takeyama and Tasaka introduced the Q-linear map ϕ on the harmonic algebra H1, which we call the symmetrization map in this paper. They calculated ϕ(w) explicitly for an element w in H1 related to the multiple zeta values of Mordell–Tornheim type. In this paper, we introduce its t-adic generalization ϕˆ and calculate ϕˆ(w) for elements w in H1〚t〛 constructed from the theory of 2-colored rooted trees.

Original languageEnglish
Pages (from-to)654-669
Number of pages16
JournalJournal of Algebra
Publication statusPublished - 2022 Sept 15


  • 2-Colored rooted tree
  • Harmonic algebra
  • t-Adic symmetrization map

ASJC Scopus subject areas

  • Algebra and Number Theory


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