Equidistribution and integral points for Drinfeld modules
Number Theory
2007-05-23 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0609120,
title = {Equidistribution and integral points for Drinfeld modules},
author = {Dragos Ghioca and Thomas J. Tucker},
journal= {arXiv preprint arXiv:math/0609120},
year = {2007}
}