Multiplicative dependence among iterated values of rational functions modulo finitely generated groups
Number Theory
2018-11-14 v1 Dynamical Systems
Abstract
We study multiplicative dependence between elements in orbits ofalgebraic dynamical systems over number fields modulo a finitely generated multiplicative subgroup of the field. We obtain a series of results, many of which may be viewed as a blend of Northcott's theorem on boundedness of preperiodic points and Siegel's theorem on finiteness of solutions to -unit equations.
Keywords
Cite
@article{arxiv.1811.04971,
title = {Multiplicative dependence among iterated values of rational functions modulo finitely generated groups},
author = {Attila Bérczes and Alina Ostafe and Igor E. Shparlinski and Joseph H. Silverman},
journal= {arXiv preprint arXiv:1811.04971},
year = {2018}
}