在整数点上的非一般化的多个zeta函数的Shuffle积

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-07-17 DOI:10.1016/j.jalgebra.2025.07.012

Nao Komiyama , Takeshi Shinohara

引用次数: 0

摘要

本文研究了在整数点处非正则化的多重zeta函数的特殊值的“shuffle-type”公式。本文通过给出整数点上非奇异的多重zeta函数的迭代积分/微分表达式来证明这一点。

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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Shuffle product of desingularized multiple zeta functions at integer points

In this paper, we investigate the “shuffle-type” formula for special values of desingularized multiple zeta functions at integer points. It is proved by giving an iterated integral/differential expression for the desingularized multiple zeta functions at integer points.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.