Algebraic independence in characteristic two

DOI10.1006/jnth.1997.2147zbMath0958.11050OpenAlexW2083055042MaRDI QIDQ1366676

Laurent Denis

Publication date: 22 September 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2147

zbMATH Keywords

rational functionDrinfeld modulesalgebraic independenceCarlitz exponential

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of Drinfel'd and (t)-modules (11J93)

Related Items (3)

Algebraic independence of the Carlitz period and its hyperderivatives ⋮ Transcendental values of Bessel-Carlitz functions ⋮ The Brownawell-Waldschmidt theorem in finite characteristic

Cites Work

• Tensor powers of the Carlitz module and zeta values
• Transcendence and special zeta values in characteristic p
• Algebraic groups and small transcendence degree. II
• A six exponentials theorem in finite characteristic
• Transcendence theory over function fields
• \(t\)-motives
• Théorème de Baker et modules de Drinfeld. (Baker's theorem and Drinfeld modules)
• Nombres transcendants
• Transcendence and Drinfeld modules: Several variables
• Derivatives of a Drinfeld module and transcendence
• Multiplicity lemmas and \(T\)-modules
• Transcendence properties of the Carlitz \(\psi\) functions
• On the de Rham isomorphism for Drinfeld modules.
• Méthodes fonctionnelles pour la transcendance en caractéristique finie
• Indépendance algébrique et exponentielle de Carlitz
• Transcendence of the values of functions satisfying generalized Mahler type functional equations.
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