An average Chebotarev density theorem for generic rank 2 Drinfeld modules with complex multiplication

DOI10.1016/j.jnt.2012.07.001zbMath1308.11061OpenAlexW1993472949MaRDI QIDQ1932380

Alina Carmen Cojocaru, Andrew Michael Shulman

Publication date: 18 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.07.001

zbMATH Keywords

Drinfeld moduleWeil numberChebotarev density theorem, prime distribution

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Density theorems (11R45)

Related Items (4)

Primes, elliptic curves and cyclic groups ⋮ Reprint of: Endomorphism rings of reductions of Drinfeld modules ⋮ Endomorphism rings of reductions of Drinfeld modules ⋮ Cyclicity of Drinfeld modules

Cites Work

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• On Artin's conjecture
• Weil pairing for Drinfeld modules
• Cyclicity of elliptic curves modulo \(p\) and elliptic curve analogues of Linnik's problem
• On finite Drinfeld modules
• Torsion bounds for elliptic curves and Drinfeld modules
• Good reduction of elliptic modules
• 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)
• Isogenies of Drinfeld modules over finite fields
• The Distribution of the First Elementary Divisor of the Reductions of a Generic Drinfeld Module of Arbitrary Rank

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