On the functional graph of f(X)=X(X^q-1-c)^q+1, over quadratic extensions of finite fields

2024/08/16 by Aguirre, Josimar J. R., Lemos, Abílio, Neumann, Victor G. L.
#05C20 #11T06 #12E20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2408.08957

Abstract

Let \mathbbF_q be the finite field with q elements. In this paper we will describe the dynamics of the map f(X)=X(X^q-1-c)^q+1, with c∈\mathbbF_q^∗, over the finite field \mathbbF_q².

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