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

Abstract

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 use our techniques to recover many earlier results and prove stronger results in some cases. Further, we devise a direct and conceptual way to get logarithmic interpretations for multiple zeta values in positive characteristic. This generalizes the work of Anderson and Thakur for Carlitz zeta values.