On roots of unity in orbits of rational functions

2016/03/13 by Ostafe, Alina · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1603.03983

Abstract

In this paper we characterise univariate rational functions over a number field \K having infinitely many points in the cyclotomic closure \K^c for which the orbit contains a root of unity. Our results are similar to previous results of Dvornicich and Zannier describing all polynomials having infinitely many preperiodic points in \K^c.

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• Cyclotomic integral points for affine dynamics

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