Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899396 | Journal of Mathematical Analysis and Applications | 2018 | 33 Pages |
Abstract
In this paper we study the geometric location of periodic points of power series defined over fields of positive characteristic p. We find a lower bound for the norm of all nonzero periodic points in the open unit disk of 2-ramified power series. We prove that this bound is optimal for a large class of power series. Our main technical result is a computation of the first significant terms of p-power iterates of 2-ramified power series. As a by-product we obtain a self-contained proof of the characterization of 2-ramified power series.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Karl-Olof Lindahl, Jonas Nordqvist,