Linear relations of Ohno sums of multiple zeta values
Number Theory
2019-10-18 v1
Abstract
Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohno sum. In this paper, we investigate -linear relations among Ohno sums which are not contained in Ohno's relation. We prove two new families of such relations, and pose several further conjectural families of such relations.
Cite
@article{arxiv.1910.07740,
title = {Linear relations of Ohno sums of multiple zeta values},
author = {Minoru Hirose and Hideki Murahara and Tomokazu Onozuka and Nobuo Sato},
journal= {arXiv preprint arXiv:1910.07740},
year = {2019}
}