Short average distribution of a prime counting function over families of elliptic curves

DOI10.1016/j.jnt.2019.11.011zbMath1445.11047arXiv1609.08549OpenAlexW2995247584MaRDI QIDQ2307463

Sumit Giri

Publication date: 27 March 2020

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

Full work available at URL: https://arxiv.org/abs/1609.08549

zbMATH Keywords

finite fieldelliptic curvegroup orderBarban-Davenport-Halberstam conjectureprime \(k\)-tuple

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Cites Work

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• A Remark on Elliptic Curves with a Given Number of Points over Finite Fields
• Average twin prime conjecture for elliptic curves
• Poisson Distribution of a Prime Counting Function Corresponding to Elliptic Curves
• On the Distribution of Supersingular Primes
• On invariants of elliptic curves on average

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