Ohno type relations for classical and finite multiple zeta-star values
Number Theory
2020-06-26 v2 Combinatorics
Abstract
Ohno's relation is a generalization of both the sum formula and the duality formula for multiple zeta values. Oyama gave a similar relation for finite multiple zeta values, defined by Kaneko and Zagier. In this paper, we prove relations of similar nature for both multiple zeta-star values and finite multiple zeta-star values. Our proof for multiple zeta-star values uses the linear part of Kawashima's relation.
Cite
@article{arxiv.1806.09299,
title = {Ohno type relations for classical and finite multiple zeta-star values},
author = {Minoru Hirose and Kohtaro Imatomi and Hideki Murahara and Shingo Saito},
journal= {arXiv preprint arXiv:1806.09299},
year = {2020}
}
Comments
9 pages