New Hoffman-type generators for alternating multiple zeta values

Wataru Machida

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arXiv · 2610.11521

New Hoffman-type generators for alternating multiple zeta values

Wataru Machida

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Abstract

We introduce multiple $s$ values and prove that every alternating multiple zeta value is a $\mathbb{Q}$-linear combination of multiple $s$ values $s(k_1, \dots, k_r)$ with $k_i \in \{1, 2\}$. We also study when certain multiple $s$ values can be expressed as $\mathbb{Q}$-linear combinations of multiple zeta values.

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Wataru Machida. 2026-10-08. New Hoffman-type generators for alternating multiple zeta values. https://arxiv.org/abs/2610.11521

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