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arXiv · 2303.15644

Weighted sum formula for variants of half multiple zeta values

Hanamichi Kawamura·Takumi Maesaka·Masataka Ono
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Abstract

We prove some weighted sum formulas for half multiple zeta values, half finite multiple zeta values, and half symmetric multiple zeta values. The key point of our proof is Dougall's identity for the generalized hypergeometric function ${}_{5}F_{4}$. Similar results for interpolated refined symmetric multiple zeta values and half refined symmetric multiple zeta values are also discussed.

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Hanamichi Kawamura, Takumi Maesaka, Masataka Ono. 2023-03-28. Weighted sum formula for variants of half multiple zeta values. https://arxiv.org/abs/2303.15644

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