Linear relations of Ohno sums of multiple zeta values
Linear relations of Ohno sums of multiple zeta values
复制标题
Ohno 多个 zeta 值之和的线性关系
DOI：
10.1016/j.indag.2020.04.004
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Sato Nobuo
中科院分区：
文献类型：
--
作者：
Hirose Minoru;Murahara Hideki;Onozuka Tomokazu;Sato Nobuo
Ohno关系是多个zeta值之间的一个著名的关系族，它可以自然地被视为某个幂级数的对偶类型，我们称之为Ohno和。本文研究了Ohno关系式中不包含的Ohno和之间的Q-线性关系。我们证明了这类关系的两个新族，并提出了这类关系的几个进一步的拓扑族。
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 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.