On finite Carlitz multiple polylogarithms
Number Theory
2016-11-10 v1
Abstract
In this paper, we define finite Carlitz multiple polylogarithms and show that every finite multiple zeta value over the rational function field is an -linear combination of finite Carlitz multiple polylogarithms at integral points. It is completely compatible with the formula for Thakur MZV's established in [C14].
Keywords
Cite
@article{arxiv.1611.02822,
title = {On finite Carlitz multiple polylogarithms},
author = {Chieh-Yu Chang and Yoshinori Mishiba},
journal= {arXiv preprint arXiv:1611.02822},
year = {2016}
}
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8 pages