On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values
Number Theory
2020-07-23 v1
Abstract
Based on the notion of Stark units we present a new approach that obtains refinements of log-algebraic identities for Anderson t-modules. As a consequence, we establish a generalization of Chang's theorem on logarithmic interpretations for special characteristic p multiple zeta values (MZV's) and recover many earlier results in this direction. Further, we devise a direct and conceptual way to get logarithmic interpretations for both MZV's and v-adic MZV's. This generalizes completely the work of Anderson and Thakur for Carlitz zeta values.
Keywords
Cite
@article{arxiv.2007.11060,
title = {On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values},
author = {Nathan Green and Tuan Ngo Dac},
journal= {arXiv preprint arXiv:2007.11060},
year = {2020}
}