On alternating sum formulas for the Arakawa-Kaneko multiple zeta values

Yuta Nishimura

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arXiv · 2403.15086

On alternating sum formulas for the Arakawa-Kaneko multiple zeta values

Yuta Nishimura

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Abstract

In this paper, we construct generating functions of alternating sums for the Arakawa-Kaneko zeta values. From the expressions, we show alternating sum formulas for them. Based on these results, we apply the same method to other zeta values.

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Yuta Nishimura. 2024-03-22. On alternating sum formulas for the Arakawa-Kaneko multiple zeta values. https://arxiv.org/abs/2403.15086

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