Ohno-type identities for multiple harmonic sums

Abstract

We establish Ohno-type identities for multiple harmonic (𝑞-)sums which generalize Hoffman's identity and Bradley's identity. Our result leads to a new proof of the Ohno-type relation for 𝒜-finite multiple zeta values recently proved by Hirose, Imatomi, Murahara and Saito. As a further application, we give certain sum formulas for 𝒜₂- or 𝒜₃-finite multiple zeta values.