Weighted sum formulas for finite multiple zeta values

Weighted sum formula for multiple harmonic sums modulo primes

“…Note that several similar weighted sum formulas for multiple zeta values are already known [1,5,6], and somewhat different weighted sum formulas for A-finite multiple zeta values were proved by Kamano in [3].…”

Weighted sum formula for variants of half multiple zeta values

“…The sum formula for FMZVs and SMZVs was conjectured by Kaneko, and proved by Saito and Wakabayashi for FMZVs [24,Theorem 1.4] and by Murahara for SMZVs [18,Theorem 1.2]. Moreover, there are several results on weighted sum formula of FMZVs, SMZVs, and their interpolation (for example, [6], [10], [16], [19], [20]). In this paper, we also prove a kind of weighted sum formula for 1/2-FMZVs and 1/2-SMZVs.…”

Restricted sum formula for finite and symmetric multiple zeta values

“…We note that similar weighted sum formulas for MZVs are known (see Guo-Xie [1], Ohno-Zudilin [10], and Ong-Eie-Liaw [11]). Kamano [6] also obtained somewhat different weighted sum formulas for FMZVs. ) for nonnegative integer m.…”