论文标题

多个Zeta值的二元性和衍生关系的交集

Intersection of duality and derivation relations for multiple zeta values

论文作者

Kimura, Aiki

论文摘要

双重关系是多个Zeta值的线性关系的基本家族。扩展的双层式关系(EDSR)是预期在多个Zeta值之间产生所有线性关系的关系之一,但尚不清楚是否可以从EDSR中推导所有双重关系。在本文中,关于由二元性关系产生的家庭和派生关系产生的家庭,获得了其相交的明确表征。在这里,推导关系是EDSR的专业化。

The duality relation is a basic family of linear relations for multiple zeta values. The extended double shuffle relation (EDSR) is one of the families of relations expected to generate all linear relations among multiple zeta values, but it remains unclear as to whether all duality relations can be deduced from the EDSR. In the present paper, regarding the family generated by the duality relation and the family generated by the derivation relation, an explicit characterization of their intersection is obtained. Here, the derivation relation is a specialization of the EDSR.

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