English

Ohno-type relation for interpolated multiple zeta values

Number Theory 2021-04-22 v2

Abstract

We prove the Ohno-type relation for the interpolated multiple zeta values, which was introduced first by Yamamoto. Same type results for finite multiple zeta values are also given. Moreover, these relations give the sum formula for interpolated multiple zeta values and interpolated F\mathcal{F}-multiple zeta values, which were proved by Yamamoto and Seki, respectively.

Keywords

Cite

@article{arxiv.2103.14851,
  title  = {Ohno-type relation for interpolated multiple zeta values},
  author = {Minoru Hirose and Hideki Murahara and Masataka Ono},
  journal= {arXiv preprint arXiv:2103.14851},
  year   = {2021}
}

Comments

18pages

R2 v1 2026-06-24T00:36:31.935Z