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arXiv · 2306.05019

Colored multizeta values in positive characteristic

Ryotaro Harada
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Abstract

In this paper, we study Shen-Shi's colored multizeta values in positive characteristic, which are generalizations of multizeta values in positive characteristic by Thakur. We establish their fundamental properties, that include their non-vanishingness, sum-shuffle relations, $t$-motivic interpretation and linear independence. In particular, for the linear independence results, we prove that there are no nontrivial $\overline{k}$-linear relations among the colored multizeta values of different weights.

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Ryotaro Harada. 2023-06-08. Colored multizeta values in positive characteristic. https://arxiv.org/abs/2306.05019

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