Koblitz's conjecture on average for elliptic curves over abelian number fields of square-free conductor

DOI10.1016/J.JNT.2017.09.013zbMath1431.11074OpenAlexW2766135633WikidataQ123088067 ScholiaQ123088067MaRDI QIDQ1686187

Luke Giberson

Publication date: 21 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.09.013

zbMATH Keywords

average Frobenius distributionsKoblitz's conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Fourier coefficients of automorphic forms (11F30)

Cites Work

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• Averages of elliptic curve constants
• Primality of the number of points on an elliptic curve over a finite field
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Average Frobenius distribution for the degree two primes of a number field
• Almost prime values of the order of elliptic curves over finite fields
• Average Frobenius distribution for elliptic curves defined over finite Galois extensions of the rationals
• A REFINEMENT OF KOBLITZ'S CONJECTURE
• Average Frobenius distributions for elliptic curves over abelian extensions
• Average twin prime conjecture for elliptic curves
• On the number of prime divisors of the order of elliptic curves modulo p
• Reductions of an elliptic curve with almost prime orders
• Integral pinching results for manifolds with boundary

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