Ohno-type identities for multiple harmonic sums

2018/06/12 by Seki, Shin-ichiro, Yamamoto, Shuji · 2 citations
#11B65 #11M32 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1806.04785

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.

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• A q-analogue of Boyadzhiev-Mneimneh-type binomial sums of finite multi-polylogarithms
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