On the arithmetic of twists of superelliptic curves

Details On the arithmetic of twists of superelliptic curves On the arithmetic of twists of superelliptic curves

2005-09-18

arxiv.org/abs/math/0509401v2

Mathematics

Number Theory

24 pages

Scientific paper

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.

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