Double shuffle relations for arborified zeta values

被引：2
|
作者：
Clavier, Pierre J. [1 ]
机构：
[1] Univ Potsdam, Inst Math, D-14476 Potsdam, Germany
来源：
JOURNAL OF ALGEBRA | 2020年 / 543卷
关键词：
Rooted trees; Multiple zeta values; Shuffle products; Rota-Baxter algebras;
D O I：
10.1016/j.jalgebra.2019.10.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Arborified zeta values are defined as iterated series and integrals using the universal properties of rooted trees. This approach allows to study their convergence domain and to relate them to multiple zeta values. Generalisations to rooted trees of the stuffle and shuffle products are defined and studied. It is further shown that arborified zeta values are algebra morphisms for these new products on trees. (C) 2019 Published by Elsevier Inc.
引用
收藏
页码：111 / 155
页数：45
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