A note on zeros of $L$-series of elliptic curves
Number Theory
2007-05-23 v1
Abstract
In this note we study an analogy between a positive definite quadratic form for elliptic curves over finite fields and a positive definite quadratic form for elliptic curves over the rational number field. A question is posed of which an affirmative answer would imply the analogue of the Riemann hypothesis for elliptic curves over the rational number field.
Cite
@article{arxiv.math/0610119,
title = {A note on zeros of $L$-series of elliptic curves},
author = {Xian-Jin Li},
journal= {arXiv preprint arXiv:math/0610119},
year = {2007}
}