Sum Formulas for Various Kinds of Cyclotomic Multiple Zeta Values

IF 0.9 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2025-06-15 DOI:10.1007/s10114-025-2533-y

Jiangtao Li

引用次数: 0

Abstract

Cyclotomic multiple zeta values are generalizations of multiple zeta values. In this paper, we establish sum formulas for various kinds of cyclotomic multiple zeta values. As an interesting application, we show that the ℚ-algebra generated by Riemann zeta values are contained in the ℚ-algebra generated by unit cyclotomic multiple zeta values of level N for any N ≥ 2.

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各种分眼倍数Zeta值的求和公式

分环多重zeta值是多重zeta值的一般化。在本文中，我们建立了各种分圈的多重zeta值的求和公式。作为一个有趣的应用，我们证明了对于任意N≥2，由Riemann zeta值生成的π -代数包含在由N阶的单位环切多重zeta值生成的π -代数中。

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

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.