One half log discriminant
Lucien Szpiro, Thomas J. Tucker
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 y2 = P(x) (a Lattes dynamical system).
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