TY - JOUR
T1 - t-Adic symmetrization map on the harmonic algebra
AU - Ono, Masataka
N1 - Publisher Copyright:
© 2022 Elsevier Inc.
PY - 2022/9/15
Y1 - 2022/9/15
N2 - 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.
AB - 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.
KW - 2-Colored rooted tree
KW - Harmonic algebra
KW - t-Adic symmetrization map
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U2 - 10.1016/j.jalgebra.2022.04.037
DO - 10.1016/j.jalgebra.2022.04.037
M3 - Article
AN - SCOPUS:85131146877
SN - 0021-8693
VL - 606
SP - 654
EP - 669
JO - Journal of Algebra
JF - Journal of Algebra
ER -