\(t\)-adic symmetrization map on the harmonic algebra (Q2144395)

In the paper under review, the auhor first reviews the theory of \(2\)-colored rooted tree along with the paper by \textit{M. Ono} et al. [Res. Number Theory 7, No. 1, Paper No. 15, 28 p. (2021; Zbl 1469.11331)] which contains the definition of harvestable pair, and he introduces some product structures on the \(\mathbb{Q}\)-vector space 2CRT generated by \(2\)-colored rooted trees (2CRT). Then, he introduces the \(t\)-adic symmetrization map \(\hat{\phi}\) on 2CRT and compute explicit values of \(\hat{\phi}(w)\) for elements \(w\) constructed from the theory of \(2\)-colored rooted trees. This gives a formula of \(S\)-MZV (multiple zeta value) of Mordell-Tornheim type (MT-type) in terms of MZV of MT-type.