English

Ohno-type identities for multiple harmonic sums

Number Theory 2018-08-09 v2

Abstract

We establish Ohno-type identities for multiple harmonic (qq-)sums which generalize Hoffman's identity and Bradley's identity. Our result leads to a new proof of the Ohno-type relation for A\mathcal{A}-finite multiple zeta values recently proved by Hirose, Imatomi, Murahara and Saito. As a further application, we give certain sum formulas for A2\mathcal{A}_2- or A3\mathcal{A}_3-finite multiple zeta values.

Keywords

Cite

@article{arxiv.1806.04785,
  title  = {Ohno-type identities for multiple harmonic sums},
  author = {Shin-ichiro Seki and Shuji Yamamoto},
  journal= {arXiv preprint arXiv:1806.04785},
  year   = {2018}
}

Comments

14 pages, Some minor corrections

R2 v1 2026-06-23T02:28:00.723Z