Realizations of the double shuffle relations

被引：0
|
作者：
Li, Jiangtao [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Multiple zeta values; Double shuffle relations; ALGEBRAS;
D O I：
10.1016/j.jmaa.2023.127477
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The set of multiple zeta values satisfy the double shuffie relations. In this paper, we study potential realizations of the double shuffie relations from multiple series and iterated path integrals. We show that the realizations of the double shuffie relations which can be constructed from multiple series are unique up to multiplying by a constant. We prove that there are no nontrivial realizations of the double shuffie relations from iterated path integrals of continuous functions on closed intervals. Lastly we show that the set of one variable multiple polylogarithms satisfies the double shuffie relations only for the point 0 and 1.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：24
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