正则化多个zeta值的Ohno关系

Pub Date : 2021-05-20 DOI:10.2969/jmsj/89088908

M. Hirose, H. Murahara, Shingo Saito

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引用次数: 2

摘要

对于多个zeta值的Ohno关系可以表示为某一个为指标定义的算子，在取对偶时是不变的。本文将Ohno关系推广到正则化的多个zeta值，证明了尽管适当的广义算子在对偶条件下不是不变的，但它在一个指标上的值与它在对偶指标上的值之间的关系可以用函数的形式显式地表示出来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Ohno relation for regularized multiple zeta values

The Ohno relation for multiple zeta values can be formulated as saying that a certain operator, defined for indices, is invariant under taking duals. In this paper, we generalize the Ohno relation to regularized multiple zeta values by showing that, although the suitably generalized operator is not invariant under taking duals, the relation between its values at an index and at its dual index can be written explicitly in terms of the gamma function.

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