关于有理函数轨道中的单位根
数论
2016-05-03 v2
摘要
本文刻画了数域 上的单变量有理函数，这些函数在分圆闭包 中具有无穷多个点，使得其轨道包含单位根。我们的结果类似于Dvornicich和Zannier先前描述所有在 中具有无穷多个预周期点的多项式的结果。
引用
@article{arxiv.1603.03983,
title = {On roots of unity in orbits of rational functions},
author = {Alina Ostafe},
journal= {arXiv preprint arXiv:1603.03983},
year = {2016}
}
备注
The case of of rational functions h=f/g with deg f - deg g<0 has been removed due to a gap in the argument. The main result holds for the case deg f - deg g > 1 only