论文标题

以塔库尔的猜想,对积极特征的多个zeta值

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

论文作者

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

论文摘要

在本文中,我们研究了阳性特征的功能字段多个Zeta值(作为MZV的缩写)。我们的主要结果是证明Thakur的基础猜想,它扮演了霍夫曼对Real MZV的基础猜想的类似物。结果,我们得出了托德的尺寸猜想,这是Zagier尺寸的类似物对古典Real MZV的猜想。

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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