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arXiv · 1711.04746

Checkerboard style Schur multiple zeta values and odd single zeta values

Henrik Bachmann·Yoshinori Yamasaki
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Abstract

We give explicit formulas for the recently introduced Schur multiple zeta values, which generalize multiple zeta(-star) values and which assign to a Young tableaux a real number. In this note we consider Young tableaux of various shapes, filled with alternating entries like a Checkerboard. In particular we obtain new sum representation for odd single zeta values in terms of these Schur multiple zeta values. As a special case we show that some Schur multiple zeta values of Checkerboard style, filled with 1 and 3, are given by determinants of matrices with odd single zeta values as entries.

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Henrik Bachmann, Yoshinori Yamasaki. 2017-11-13. Checkerboard style Schur multiple zeta values and odd single zeta values. https://arxiv.org/abs/1711.04746

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