Derivatives of a Drinfeld module and transcendence

DOI10.1215/S0012-7094-95-08001-6zbMath0848.11028MaRDI QIDQ1908584

Laurent Denis

Publication date: 28 October 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

derivativetranscendenceDrinfeld modulestranscendency

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Irrationality; linear independence over a field (11J72)

Related Items (6)

Algebraic independence in characteristic two ⋮ Algebraic independence of the Carlitz period and its hyperderivatives ⋮ Minimal extensions of algebraic groups and linear independence ⋮ Lower bounds of linear forms in logarithms for Drinfeld modules ⋮ Indépendance algébrique de logarithmes en caractéristique P ⋮ Arithmetic of characteristic p special L-values

Cites Work

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• Tensor powers of the Carlitz module and zeta values
• Transcendence and special zeta values in characteristic p
• \(t\)-motives
• On the structure of \(L\)-algebra \(L(C \text{vir} )\)
• Théorème de Baker et modules de Drinfeld. (Baker's theorem and Drinfeld modules)
• Transcendence and Drinfeld modules: Several variables
• On certain functions connected with polynomials in a Galois field
• Certain quantities transcendental over \(\text{GF}(p^n,x)\)
• Transcendence properties of the Carlitz \(\psi\) functions
• Sur la transcendance de la série formelle Π
• ELLIPTIC MODULES
• Méthodes fonctionnelles pour la transcendance en caractéristique finie

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