The even parity Goldfeld conjecture: congruent number elliptic curves
Number Theory
2021-06-18 v2
Abstract
In 1979 Goldfeld conjectured: 50\% of the quadratic twists of an elliptic curve defined over the rationals have analytic rank zero. In this expository article we present a few recent developments towards the conjecture, especially its first instance - the congruent number elliptic curves.
Cite
@article{arxiv.2104.06732,
title = {The even parity Goldfeld conjecture: congruent number elliptic curves},
author = {Ashay Burungale and Ye Tian},
journal= {arXiv preprint arXiv:2104.06732},
year = {2021}
}
Comments
20 pages