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arXiv:math/0603438 [math.NT]AbstractReferencesReviewsResources

One half log discriminant

Lucien Szpiro, Thomas J. Tucker

Published 2006-03-17Version 1

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).

Comments: 12 pages, 6 figures
Categories: math.NT, math.AG
Subjects: 14G40, 11G50, 11G05
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