On the arithmetic of twists of superelliptic curves
Number Theory
2015-06-26 v2
Abstract
In this paper, we consider a family of twists of a superelliptic curve over a global field, and obtain results on the distribution of the Mordell-Weil rank of these twists. Our results have applications to the distribution of the number of rational points.
Cite
@article{arxiv.math/0509401,
title = {On the arithmetic of twists of superelliptic curves},
author = {Sungkon Chang},
journal= {arXiv preprint arXiv:math/0509401},
year = {2015}
}
Comments
24 pages