Differential operators and a depth reduction for the alternating multiple zeta values $\zeta(1, \ldots, 1, \overline{2m})$
Number Theory
2023-12-29 v1
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 , which resolves a conjecture posed earlier by the third author.
Keywords
Cite
@article{arxiv.2312.17148,
title = {Differential operators and a depth reduction for the alternating multiple zeta values $\zeta(1, \ldots, 1, \overline{2m})$},
author = {Kam Cheong Au and Steven Charlton and Michael E. Hoffman},
journal= {arXiv preprint arXiv:2312.17148},
year = {2023}
}
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12 pages