正特征的多ζ值的维数下界

IF 0.9 3区数学 Q2 MATHEMATICS Documenta Mathematica Pub Date : 2020-12-01 DOI:10.25537/dm.2021v26.537-559

Yen-Tsung Chen, Ryotaro Harada

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引用次数: 5

摘要

本文研究了特殊值在代数点上的线性无关性，包括多ζ值、交替多ζ值和多重对数的正特征模拟。因此，我们建立了具有相同权重指标的这些值的线性独立集，并在深度r > 2具有相同权重的正特征的multizeta值生成的空间维度上有一个下界。

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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On lower bounds of the dimensions of multizeta values in positive characteristic

In this paper, we study the linear independence of special values, including the positive characteristic analogue of multizeta values, alternating multizeta values and multiple polylogarithms, at algebraic points. Consequently, we establish linearly independent sets of these values with the same weight indices and a lower bound on the dimension of the space generated by depth r > 2 multizeta values of the same weight in positive characteristic.

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.