Rooted tree maps

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2017-12-04 DOI:10.4310/cntp.2019.v13.n3.a6

Tatsushi Tanaka

引用次数: 6

Abstract

Based on Hopf algebra of rooted trees introduced by Connes and Kreimer, we construct a class of linear maps on noncommutative polynomial algebra in two indeterminates, namely rooted tree maps. We also prove that their maps induce a class of relations among multiple zeta values.

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根树图

基于Connes和Kreimer引入的根树Hopf代数，在两个不确定性的非对易多项式代数上构造了一类线性映射，即根树映射。我们还证明了它们的映射在多个ζ值之间诱导了一类关系。

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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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.