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July, 2020 Ohno-type identities for multiple harmonic sums
Shin-ichiro SEKI, Shuji YAMAMOTO
J. Math. Soc. Japan 72(3): 673-686 (July, 2020). DOI: 10.2969/jmsj/81028102

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

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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

Information

Received: 8 August 2018; Published: July, 2020
First available in Project Euclid: 3 April 2020

zbMATH: 07257206
MathSciNet: MR4125841
Digital Object Identifier: 10.2969/jmsj/81028102

Subjects:
Primary: 11M32
Secondary: 11B65

Keywords: finite multiple zeta values , multiple harmonic sums , Ohno-type identities , sum formulas

Rights: Copyright © 2020 Mathematical Society of Japan

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Vol.72 • No. 3 • July, 2020
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