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arXiv · 1611.02822

On finite Carlitz multiple polylogarithms

Chieh-Yu Chang·Yoshinori Mishiba
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Abstract

In this paper, we define finite Carlitz multiple polylogarithms and show that every finite multiple zeta value over the rational function field $\mathbb{F}_{q}(\theta)$ is an $\mathbb{F}_{q}(\theta)$-linear combination of finite Carlitz multiple polylogarithms at integral points. It is completely compatible with the formula for Thakur MZV's established in [C14].

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Chieh-Yu Chang, Yoshinori Mishiba. 2016-11-09. On finite Carlitz multiple polylogarithms. https://arxiv.org/abs/1611.02822

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