The Carlitz shtuka

DOI10.1016/J.JNT.2010.09.004zbMath1221.11137arXiv1008.4234OpenAlexW2077375267MaRDI QIDQ626829

Lenny Taelman

Publication date: 18 February 2011

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

Full work available at URL: https://arxiv.org/abs/1008.4234

zbMATH Keywords

function fieldCarlitz moduleclass groupunit groupshtuka

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Motivic cohomology; motivic homotopy theory (14F42) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (4)

A Herbrand-Ribet theorem for function fields ⋮ Special \(L\)-values of abelian \(t\)-modules ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Special \(L\)-values of Drinfeld modules

Cites Work

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• A Dirichlet unit theorem for Drinfeld modules
• Tensor powers of the Carlitz module and zeta values
• Special values of \(L\)-functions in characteristic \(p\)
• \(t\)-motives
• Drinfeld shtukas and applications
• Commutative subrings of certain noncommutative rings
• A Weil-Barsotti formula for Drinfeld modules.

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