Another proof of Kaneko–Ohno’s duality formula for multiple zeta star values

IF 0.4 4区数学 Q4 MATHEMATICS Colloquium Mathematicum Pub Date : 2023-01-01 DOI:10.4064/cm8943-5-2023

Xin Si, Fan Luo

引用次数: 0

Abstract

We prove Kaneko–Ohno’s duality relation for multiple zeta star values by using an integral involving the classical polylogarithm function and logarithmic function with the help of a few results of Xu (2017). Moreover, we also discuss some related results

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Kaneko-Ohno对偶公式的另一个证明

我们借助Xu(2017)的一些结果，利用经典多对数函数和对数函数的积分证明了Kaneko-Ohno的多重zeta星值对偶关系。此外，我们还讨论了一些相关的结果

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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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.

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