On the arithmetic of twists of superelliptic curves
arXiv:math/0509401 · doi:10.4064/aa124-4-5
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.
24 pages