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Equidistribution and integral points for Drinfeld modules

Dragos Ghioca·Thomas J. Tucker
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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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Dragos Ghioca, Thomas J. Tucker. 2007-04-11. Equidistribution and integral points for Drinfeld modules. https://arxiv.org/abs/math/0609120

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