舒尔多重zeta值的积分表达式

IF 0.5 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2024-11-01 DOI:10.1016/j.indag.2024.05.010

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引用次数: 0

摘要

Nakasuji、Phuksuwan 和 Yamasaki 定义了舒尔多重zeta 值，并给出了带状舒尔多重zeta 值的迭代积分表达式。本文将他们的积分表达式推广到对角线上有常数项的更一般的舒尔多重zeta值的积分表达式。此外，我们还讨论了从积分表达式得到的舒尔多重zeta值的对偶关系。

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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Integral expressions for Schur multiple zeta values

Nakasuji, Phuksuwan, and Yamasaki defined the Schur multiple zeta values and gave iterated integral expressions of the Schur multiple zeta values of the ribbon type. This paper generalizes their integral expressions to the ones of more general Schur multiple zeta values having constant entries on the diagonals. Furthermore, we also discuss the duality relations for Schur multiple zeta values obtained from the integral expressions.

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来源期刊

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.