Averages of elliptic curve constants

2007/11/21 by Nathan Jones, Jones, Nathan
Arts and Humanities · Mathematics · Social Sciences · #11F80 #11G05 #Algebraic Geometry and Number Theory #FOS: Mathematics #French Historical and Cultural Studies #Number Theory (math.NT) #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.0711.3484

openalex publication_date 2007/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the averages over elliptic curves of the constants occurring in the Lang-Trotter conjecture, the Koblitz conjecture, and the cyclicity conjecture. The results obtained confirm the consistency of these conjectures with the corresponding ``theorems on average'' obtained recently by various authors.

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