On finite Carlitz multiple polylogarithms
- Resource Type
- Working Paper
- Authors
- Chang, Chieh-Yu; Mishiba, Yoshinori
- Source
- Subject
- Mathematics - Number Theory
11R58, 11M38
- Language
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].
Comment: 8 pages