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Article Dans Une Revue International Mathematics Research Notices Année : 2023

On log-algebraic identities for Anderson t-modules and characteristic p multiple zeta values

Résumé

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 ν-adic MZV's. This generalizes completely the work of Anderson and Thakur for Carlitz zeta values.
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Dates et versions

hal-02904276 , version 1 (21-07-2020)
hal-02904276 , version 2 (18-06-2022)

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Nathan Green, Tuan Ngo Dac. On log-algebraic identities for Anderson t-modules and characteristic p multiple zeta values. International Mathematics Research Notices, 2023, 2023 (16), pp.13687-13756. ⟨10.1093/imrn/rnac141⟩. ⟨hal-02904276v2⟩
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