One half log discriminant

Lucien Szpiro; Thomas J. Tucker

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One half log discriminant

Lucien Szpiro·Thomas J. Tucker

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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).

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Lucien Szpiro, Thomas J. Tucker. 2006-03-17. One half log discriminant. https://arxiv.org/abs/math/0603438

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