Equidistribution and generalized Mahler measures

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dc.creatorSzpiro, Lucien
dc.creatorTucker, Thomas J.
dc.date2005-10-19
dc.date2007-04-10
dc.date.accessioned2026-07-07T07:55:50Z
dc.date.available2026-07-07T07:55:50Z
dc.descriptionLet g be a nonconstant rational map from the projective line to itself that has degree greater than one and is defined over a number field. The map g gives rise to generalized Mahler measures for polynomials in one variable. We use diophantine approximation to show that the generalized Mahler measure of a polynomial F at a place v can be computed by averaging the log of the v-adic absolute value of F over the periodic points of g. This allows us to compute canonical heights of algebraic points via equidistribution on periodic points.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0510404
dc.identifierhttp://arxiv.org/abs/math/0510404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127099
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11G50; 11J68, 37F10
dc.titleEquidistribution and generalized Mahler measures
dc.typetext

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