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arXiv · 2312.17148

Differential operators and a depth reduction for the alternating multiple zeta values $\zeta(1, \ldots, 1, \overline{2m})$

Kam Cheong Au·Steven Charlton·Michael E. Hoffman
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Abstract

We establish an identity amongst certain differential operators applied to a formal power-series. As a corollary we obtain an explicit depth reduction result for alternating MZV's of the form $\zeta(1,\ldots,1,\overline{2m})$, which resolves a conjecture posed earlier by the third author.

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Kam Cheong Au, Steven Charlton, Michael E. Hoffman. 2023-12-28. Differential operators and a depth reduction for the alternating multiple zeta values $\zeta(1, \ldots, 1, \overline{2m})$. https://arxiv.org/abs/2312.17148

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