Discretisation for odd quadratic twists
Number Theory
2007-05-23 v1
Abstract
The discretisation problem for even quadratic twists is almost understood, with the main question now being how the arithmetic Delaunay heuristic interacts with the analytic random matrix theory prediction. The situation for odd quadratic twists is much more mysterious, as the height of a point enters the picture, which does not necessarily take integral values (as does the order of the Shafarevich-Tate group). We discuss a couple of models and present data on this question.
Cite
@article{arxiv.math/0509428,
title = {Discretisation for odd quadratic twists},
author = {J. Brian Conrey and Michael O. Rubinstein and Nina C. Snaith and Mark Watkins},
journal= {arXiv preprint arXiv:math/0509428},
year = {2007}
}
Comments
To appear in the Proceedings of the INI Workshop on Random Matrix Theory and Elliptic Curves