Generating functions for sums of polynomial multiple zeta values

Minoru Hirose; Hideki Murahara; Shingo Saito

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arXiv · 2011.04220

Generating functions for sums of polynomial multiple zeta values

Minoru Hirose·Hideki Murahara·Shingo Saito

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Abstract

The sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values bear a striking resemblance. We explain the resemblance in a rather straightforward manner using an identity that involves the Schur multiple zeta values. We also obtain the sum formula for polynomial multiple zeta(-star) values in terms of generating functions, simultaneously generalizing the sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values.

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Minoru Hirose, Hideki Murahara, Shingo Saito. 2020-11-09. Generating functions for sums of polynomial multiple zeta values. https://arxiv.org/abs/2011.04220

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