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Equidistribution and generalized Mahler measures | | Lucien Szpiro
; Thomas J. Tucker
; | | Date: |
19 Oct 2005 | | Abstract: | Let 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. | | Source: | arXiv, math.NT/0510404 | | Other source: | [GID 847817] math/0510404 | | Services: | Forum | Review | PDF | Favorites | |
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