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 $\mathcal{A}$-finite multiple zeta values recently proved by Hirose, Imatomi, Murahara and Saito. As a further application, we give certain sum formulas for ${\mathcal{A}}_2$- or ${\mathcal{A}}_3$-finite multiple zeta values.

14 pages, Some minor corrections

References in corpus (2)

• Ohno type relations for classical and finite multiple zeta-star values
• The $\mathbf{p}$-adic duality for the finite star-multiple polylogarithms

Cited by in corpus (2)

• Derivations on the algebra of multiple harmonic q-series and their applications
• Derivation relation for finite multiple zeta values in $\hat{\mathcal{A}}$