Rooted tree maps for multiple L-values from a perspective of harmonic algebras

IF 0.9 1区数学 Q2 MATHEMATICS Algebra & Number Theory Pub Date : 2024-10-18 DOI:10.2140/ant.2024.18.2003

Hideki Murahara, Tatsushi Tanaka, Noriko Wakabayashi

引用次数: 0

Abstract

We show the image of rooted tree maps forms a subspace of the kernel of the evaluation map of multiple $L$ -values. To prove this, we define the diamond product as a modified harmonic product and describe its properties. We also show that $τ$ -conjugate rooted tree maps are their antipodes.

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从谐波代数的角度看多 L 值的有根树映射

我们证明有根树映射的图像构成了多 L 值评估映射内核的子空间。为了证明这一点，我们将钻石积定义为修正的谐波积，并描述了它的性质。我们还证明了τ-共轭有根树映射是它们的反节点。

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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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.

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