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.
Funding Statement
This work was supported in part by JSPS KAKENHI Grant Numbers JP18J00151, JP16H06336, JP16K13742, JP18K03221, JP18H05233 as well as the KiPAS program 2013–2018 of the Faculty of Science and Technology at Keio University.
Citation
Shin-ichiro SEKI. Shuji YAMAMOTO. "Ohno-type identities for multiple harmonic sums." J. Math. Soc. Japan 72 (3) 673 - 686, July, 2020. https://doi.org/10.2969/jmsj/81028102
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