Checkerboard style Schur multiple zeta values and odd single zeta values (Q1794581)

Schur multiple zeta values were introduced by \textit{M. Nakasuji} et al. [Adv. Math. 333, 570--619 (2018; Zbl 1414.11104)]. They are defined by convergent series which generalize both the classical multiple zeta values and multiple zeta star values. There is also a natural harmonic product on Schur multiple zeta values. In this paper, the authors find that a very special kind of Schur multiple zeta values are Q-multiple single odd zeta values of the same weight. These results may be useful to study the single odd zeta values in the future. The authors also calculate a more general kind of Schur multiple zeta values in terms of classical multiple zeta values and multiple zeta star values. The harmonic product of Schur multiple zeta values, the Taylor expansion of some hypergeometric functions and the results of \textit{M. Nakasuji} et al. [Adv. Math. 333, 570--619 (2018; Zbl 1414.11104)] are used to establish the main results of this paper.