Equidistribution and integral points for Drinfeld modules

Details Equidistribution and integral points for Drinfeld modules Equidistribution and integral points for Drinfeld modules

2006-09-05

arxiv.org/abs/math/0609120v2

Mathematics

Number Theory

Scientific paper

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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