On finite Carlitz multiple polylogarithms

2016/11/09 by Chieh-Yu Chang, Chang, Chieh-Yu, Yoshinori Mishiba +1
Computer Science · Mathematics · #11M38 #11R58 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1611.02822

openalex publication_date 2016/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• On multiple polylogarithms in characteristic p: v-adic vanishing versus ∞-adic Eulerianness

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