Reversed Dickson polynomials

2023/07/12 by Fang, Jiaqi, Fernando, Neranga, Wu, Haoming
#11T06 #11T55 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2307.06325

Abstract

We investigate fixed points and cycle types of permutation polynomials and complete permutation polynomials arising from reversed Dickson polynomials of the first kind and second kind over \mathbbF_p. We also study the permutation behaviour of reversed Dickson polynomials of the first kind and second kind over ℤ_m. Moreover, we prove two special cases of a conjecture on the permutation behaviour of reversed Dickson polynomials over \mathbbF_p.

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