Weighted sum formula for variants of half multiple zeta values

2023/03/28 by Kawamura, Hanamichi, Maesaka, Takumi, Ono, Masataka
#11M32 #11M35 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2303.15644

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 ₅F₄. Similar results for interpolated refined symmetric multiple zeta values and half refined symmetric multiple zeta values are also discussed.

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