On Thakur’s basis conjecture for multiple zeta values in positive characteristic

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2023-01-01 DOI:10.1017/fmp.2023.26

Chieh-Yu Chang, Yen-Tsung Chen, Yoshinori Mishiba

引用次数: 3

Abstract

Abstract In this paper, we study multiple zeta values (abbreviated as MZV’s) over function fields in positive characteristic. Our main result is to prove Thakur’s basis conjecture, which plays the analogue of Hoffman’s basis conjecture for real MZV’s. As a consequence, we derive Todd’s dimension conjecture, which is the analogue of Zagier’s dimension conjecture for classical real MZV’s.

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正特征中多个zeta值的塔库尔基猜想

摘要本文研究了正特征函数域上的多个zeta值(简称MZV)。我们的主要成果是证明了Thakur的基猜想，它对实MZV起着类似Hoffman基猜想的作用。因此，我们导出了Todd的维数猜想，它是经典实MZV的Zagier维数猜想的类比。

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

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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