English

Elliptic curve over totally real fields: A Survey

Number Theory 2023-04-19 v1

Abstract

In this survey article, we summarise the known results towards the conjecture: elliptic curves over totally real number fields are modular. For understanding these recent results in the literature, we present some necessary background along with certain applications.

Keywords

Cite

@article{arxiv.2304.09003,
  title  = {Elliptic curve over totally real fields: A Survey},
  author = {Bidisha Roy and Lalit Vaishya},
  journal= {arXiv preprint arXiv:2304.09003},
  year   = {2023}
}

Comments

This is a survey for Bhaskaracharya Pratishthana (BP) program proceedings. Any comments are welcome

R2 v1 2026-06-28T10:09:44.193Z