Transcendence and Drinfeld modules: Several variables

DOI10.1215/S0012-7094-89-05826-2zbMath0687.12008MaRDI QIDQ1262899

Jing Yu

Publication date: 1989

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

zbMATH Keywords

transcendenceDrinfeld modulesHilbert-Blumenthal-Drinfeld modulest- modules

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Transcendence (general theory) (11J81)

Related Items

Submodules of products of quasi-periodic modules ⋮ Periods of \(t\)-motives and transcendence ⋮ Derivatives of a Drinfeld module and transcendence ⋮ Algebraic independence in characteristic two ⋮ Transcendental values of Bessel-Carlitz functions ⋮ Méthodes fonctionnelles pour la transcendance en caractéristique finie ⋮ Frobenius difference equations and difference Galois groups ⋮ Analytic subgroups of 𝑡-modules ⋮ On the reduction of a non-torsion point of a Drinfeld module ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Unnamed Item ⋮ 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

• A six exponentials theorem in finite characteristic
• Transcendence theory over function fields
• Transcendence and Drinfeld modules
• \(t\)-motives
• Linear forms in elliptic integrals
• The \(\Gamma\)-ideal and special zeta-values
• Lemmes de Schwarz et lemmes d'approximations p-adiques en plusieurs variables
• ELLIPTIC MODULES
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