A polynomial basis for the stuffle algebra and its applications

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2026-05-15 Epub Date: 2026-01-29 DOI:10.1016/j.jalgebra.2026.01.026

Tuan Ngo Dac , Gia Vuong Nguyen Chu , Lan Huong Pham

引用次数: 0

Abstract

In this paper we construct a polynomial basis for the stuffle algebra over a field of characteristic

p > 0

. As an application we derive the transcendence degree for multiple zeta values in positive characteristic of small weights. To our knowledge, the only known result is the case of weight 2 which was proved by Mishiba using a completely different approach.

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填充代数的多项式基及其应用

本文构造了特征为p>；0的域上的填充代数的多项式基。作为一个应用，我们导出了小权重正特征中多个zeta值的超越度。据我们所知，唯一已知的结果是权值2的情况，它是由三叶用一种完全不同的方法证明的。

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

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.