On finite Carlitz multiple polylogarithms
  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]. 
Chieh-Yu Chang, Yoshinori Mishiba
math.NT