The first and second moments of reversed Dickson polynomials over finite fields

DOI10.1016/j.jnt.2017.10.021zbMath1430.11156OpenAlexW2768492962MaRDI QIDQ1747217

Kaimin Cheng, Shao-Fang Hong

Publication date: 4 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.10.021

zbMATH Keywords

momentpermutation polynomialLucas congruenceHermite criterionreversed Dickson polynomial of \((k + 1)\)-th kind

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (1)

On the number of irreducible polynomials of special kinds in finite fields

Cites Work

• Reversed Dickson polynomials of the (\(k+1\))-th kind over finite fields
• Dickson polynomials over finite fields
• Necessary conditions for reversed Dickson polynomials to be permutational
• Necessary conditions for reversed Dickson polynomials of the second kind to be permutational
• Reversed Dickson polynomials over finite fields
• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• Permutational behavior of reversed Dickson polynomials over finite fields
• On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
• Dickson Polynomials of the Second Kind that are Permutations
• New results on permutation polynomials over finite fields
• Permutation binomials over finite fields
• ON PERMUTATION BINOMIALS OVER FINITE FIELDS
• CONSTRUCTING PERMUTATION POLYNOMIALS OVER FINITE FIELDS

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