Connectors of the Ohno relation for parametrized multiple zeta series

The connector for Double Ohno relation

In this paper, we introduce a new connector which generalizes the connector found by the third author and Yamamoto. The new connector gives a direct proof of the double Ohno relation recently proved by the first author, the second author, Murahara, and Onozuka. Furthermore, we obtain a simultaneous generalization of the ($q$-)Ohno relation and the ($q$-)double Ohno relation.

A parametrized generalization of Ohno's relation for multiple zeta values

In this paper, we prove that certain parametrized multiple series which generalize multiple zeta values satisfy the same relation as Ohno's relation for multiple zeta values. This is a parametrized generalization of Ohno's relation for multiple zeta values. By virtue of this generalization, we obtain a certain equivalence between the relation for the parametrized multiple series and its subfamily. As applications of the above results, we obtain some results for multiple zeta values.

某些参数化多重泽塔值的循环和公式

Cyclic sum formula for certain parametrized multiple zeta values

本文针对Igarashi推广Ohno-Wakabayashi多重泽塔星值循环和公式后提出的三参数推广问题之一，给出了可能的解答。

On the duality formula for parametrized multiple series

We show that a duality formula for certain parametrized multiple series yields numerous relations among them. As a result, we obtain a new relation among extended multiple zeta values, which is an extension of Ohno's relation for multiple zeta values. We do the same study also to multiple Hurwitz zeta values, and obtain a new identity for them.