t-Adic symmetrization map on the harmonic algebra

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume606
DOIs
Publication statusPublished - 2022 Sep 15

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 't-Adic symmetrization map on the harmonic algebra'. Together they form a unique fingerprint.

Cite this