Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values

摘要

In this paper we present many new families of identities for multipleharmonic sums using binomial coefficients. Some of these generalize a fewrecent results of Hessami Pilehrood et al. As applications we prove severalconjectures involving multiple zeta star values (MZSV): the Two-one formulaconjectured by Ohno and Zudilin, and a few conjectures of Imatomi et al.involving 2-3-2-1 type MZSV, where 2 means some finite string of 2's