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math.DS2019
Wildly ramified power series with large multiplicity
Jonas Nordqvist
In this paper we consider wildly ramified power series, \emph{i.e.}, power series defined over a field of positive characteristic, fixing the origin, where it is tangent to the ide…
math.DS2019
Residue fixed point index and wildly ramified power series
Jonas Nordqvist, Juan Rivera-Letelier
In this paper, we study power series having a fixed point of multiplier 1. First, we give a closed formula for the residue fixed point index, in terms of the first coefficients of…
math.DS2017
Geometric location of periodic points of 2-ramified power series
Karl-Olof Lindahl, Jonas Nordqvist
In this paper we study the geometric location of periodic points of power series defined over fields of prime characteristic . More specifically, we find a lower bound for the a…