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 $\mathbb{Q}$-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.

中文翻译：

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多个 zeta 值的 Ohno 和的线性关系

Ohno 关系是众所周知的多个 zeta 值之间的关系族，自然可以将其视为我们称为 Ohno 和的某个幂级数的一种对偶。在本文中，我们研究了不包含在 Ohno 关系中的 Ohno 和之间的 $\mathbb{Q}$-线性关系。我们证明了这种关系的两个新族，并进一步提出了这种关系的几个猜想族。