Equidistribution and integral points for Drinfeld modules

Ghioca, D.; Tucker, T.

doi:10.1090/S0002-9947-08-04508-X

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ISSN 1088-6850(online) ISSN 0002-9947(print)

Equidistribution and integral points for Drinfeld modules

Authors: D. Ghioca and T. J. Tucker
Journal: Trans. Amer. Math. Soc. 360 (2008), 4863-4887
MSC (2000): Primary 11G50; Secondary 11J68, 37F10
Posted: April 16, 2008
MathSciNet review: 2403707
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Abstract: 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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