Artin's conjecture for Drinfeld modules

DOI10.2140/ant.2022.16.1025OpenAlexW4292731202WikidataQ113727195 ScholiaQ113727195MaRDI QIDQ2166198

Wentang Kuo, David Tweedle

Publication date: 24 August 2022

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/ant.2022.16.1025

zbMATH Keywords

function fieldsDrinfeld modulesArtin's primitive root conjecture

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Density theorems (11R45)

Related Items (1)

Cyclicity of Drinfeld modules

Cites Work

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• Kummer theory for Drinfeld modules
• Periods of orbits modulo primes
• Adelic openness for Drinfeld modules in generic characteristic
• Some local-global applications of Kummer theory
• Une borne pour l'action de l'inertie sauvage sur la torsion d'un module de Drinfeld. (A bound for the wild inertia action on the torsion of a Drinfeld module)
• The Brun-Titchmarsh theorem in function fields
• On an Erdős-pomerance conjecture for rank one Drinfeld modules
• Homotopy limits, completions and localizations
• On primitive points of elliptic curves with complex multiplication
• Primdivisoren mit vorgegebener Primitivwurzel
• A prime analogue Erdős-Pomerance result for Drinfeld modules with arbitrary endomorphism rings
• Field Arithmetic
• Algebraic Function Fields and Codes
• GAUSSIAN LAWS ON DRINFELD MODULES
• ELLIPTIC MODULES
• Primitive submodules for Drinfeld modules
• Residues of differentials on curves
• On Artin's conjecture.
• On Artin's conjecture for rank one Drinfeld modules.

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