One half log discriminant
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We give a geometric proof that one may compute a particular generalized Mahler integral using equidistribution of preperiodic points of a dynamical system on the sphere. The dynamical system is associated to the multiplication by 2 map on an elliptic curve over a number field K with Weierstrass equation y^2 = P(x) (a Lattes dynamical system).
Keywords
Cite
@article{arxiv.math/0603438,
title = {One half log discriminant},
author = {Lucien Szpiro and Thomas J. Tucker},
journal= {arXiv preprint arXiv:math/0603438},
year = {2007}
}
Comments
12 pages, 6 figures