English

Averages of elliptic curve constants

Number Theory 2007-11-26 v1

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.

Keywords

Cite

@article{arxiv.0711.3484,
  title  = {Averages of elliptic curve constants},
  author = {Nathan Jones},
  journal= {arXiv preprint arXiv:0711.3484},
  year   = {2007}
}

Comments

22 pages

R2 v1 2026-06-21T09:46:03.597Z