The distribution and growth of the elementary divisors of the reductions of an elliptic curve over a function field

DOI10.1016/j.jnt.2011.08.007zbMath1276.11089OpenAlexW1992947944MaRDI QIDQ412115

Alina Carmen Cojocaru, Árpad Tóth

Publication date: 4 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.08.007

zbMATH Keywords

elliptic curvesChebotarev density theoremfunction fields of positive characteristicsgroup structuresprime distributions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Elliptic curves over global fields (11G05) Density theorems (11R45)

Related Items (3)

Primes, elliptic curves and cyclic groups ⋮ The distribution and density of cyclic groups of the reductions of an elliptic curve over a function field ⋮ Cyclicity of Drinfeld modules

Cites Work

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• A bound for the torsion conductor of a non-CM elliptic curve
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• The Splitting of Primes in Division Fields of Elliptic Curves
• Fibre Systems of Jacobian Varieties: (III. Fibre Systems of Elliptic Curves)

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