On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values

Nathan Green; Tuan Ngo Dac

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arXiv · 2007.11060

On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values

Nathan Green·Tuan Ngo Dac

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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.

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Nathan Green, Tuan Ngo Dac. 2020-07-21. On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values. https://arxiv.org/abs/2007.11060

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