On equivariant class formulas for Anderson modules

DOI10.1007/s40993-023-00473-7arXiv2110.15696OpenAlexW4387052186MaRDI QIDQ6054735

Tiphaine Beaumont

Publication date: 25 October 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.15696

zbMATH Keywords

\(L\)-functionsDrinfeld modulesclass formulaAnderson modules

Mathematics Subject Classification ID

Galois representations (11F80) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

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• Special \(L\)-values of abelian \(t\)-modules
• Arithmetic of function field units
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• \(t\)-motives
• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• An equivariant Tamagawa number formula for Drinfeld modules and applications
• A class formula for admissible Anderson modules
• Artin-Schreier extensions of the rational function field
• A class formula for \(L\)-series in positive characteristic
• Determinants of Commuting-Block Matrices
• Arithmetic of characteristic p special L-values
• Stark units in positive characteristic

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