English

Average analytic rank of elliptic curves with prescribed torsion

Number Theory 2021-07-27 v3

Abstract

We show that average analytic rank of elliptic curves with prescribed torsion GG is bounded for every torsion group GG under GRH for elliptic curve LL-functions.

Keywords

Cite

@article{arxiv.2005.06862,
  title  = {Average analytic rank of elliptic curves with prescribed torsion},
  author = {Peter J. Cho and Keunyoung Jeong},
  journal= {arXiv preprint arXiv:2005.06862},
  year   = {2021}
}

Comments

Major revision: now we consider all possible torsion subgroups