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4 papers · 2 filters
A Family of Multiple Harmonic Sum and Multiple Zeta Star Value Identities
Erin Linebarger, Jianqiang Zhao
In this paper we present a new family of identities for multiple harmonic sums which generalize a recent result of Hessami Pilehrood et al. We then apply it to obtain a family of i…
Restricted Sum Formula of Multiple Zeta Values
Haiping Yuan, Jianqiang Zhao
Let Q(4n,d) be the sum of all multiple zeta values of depth d and weight 4n whose arguments are all multiples of 4. In this paper we derive a formula of Q(4n,d) for all d>2 as a fi…
On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums
Jianqiang Zhao
Multiple harmonic sums are iterated generalizations of harmonic sums. Recently Dilcher has considered congruences involving q-analogs of these sums in depth one. In this paper we s…
Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values
Jianqiang Zhao
In this paper we present many new families of identities for multiple harmonic sums using binomial coefficients. Some of these generalize a few recent results of Hessami Pilehrood…