One half log discriminant

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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).
12 pages, 6 figures

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Number Theory, Algebraic Geometry, 14G40; 11G50, 11G05

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http://salesiana.dossiersoluciones.com/handle/123456789/110244

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603438
 http://arxiv.org/abs/math/0603438

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arXiv