Equidistribution and integral points for Drinfeld modules

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We prove that the local height of a point on a Drinfeld module can be computed by averaging the logarithm of the distance to that point over the torsion points of the module. This gives rise to a Drinfeld module analog of a weak version of Siegel's integral points theorem over number fields and to an analog of a theorem of Schinzel's regarding the order of a point modulo certain primes.

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Number Theory, Algebraic Geometry, 11G50; 11J68, 37F10

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http://salesiana.dossiersoluciones.com/handle/123456789/127164

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609120
 http://arxiv.org/abs/math/0609120

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arXiv