Quasi-derivation relations for multiple zeta values revisited

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2020-11-25 DOI:10.1007/s12188-020-00225-9

Masanobu Kaneko, Hideki Murahara, Takuya Murakami

引用次数: 1

Abstract

We take another look at the so-called quasi-derivation relations in the theory of multiple zeta values, by giving a certain formula for the quasi-derivation operator. In doing so, we are not only able to prove the quasi-derivation relations in a simpler manner but also give an analog of the quasi-derivation relations for finite multiple zeta values.

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重新考察多个ζ值的拟导函数关系

通过给出拟导算子的一个公式，我们又看了多重ζ值理论中所谓的拟导关系。在这样做的过程中，我们不仅能够以更简单的方式证明准导数关系，而且能够给出有限多个ζ值的准导数关系的模拟。

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

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.