Permutation properties of Dickson and Chebyshev polynomials with connections to number theory

DOI10.1016/J.FFA.2021.101899zbMath1489.11198arXiv1707.06877OpenAlexW3189257492WikidataQ114179468 ScholiaQ114179468MaRDI QIDQ2238908

Antonia Wilson Bluher

Publication date: 2 November 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06877

zbMATH Keywords

Chebyshev polynomialspermutation polynomialsDickson polynomialsDillon-Dobbertin

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (1)

Explicit Artin maps into \(\mathrm{PGL}_2\)

Cites Work

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• New cyclic difference sets with Singer parameters
• The factorization of Dickson polynomials over finite fields
• Factoring Dickson polynomials over finite fields
• A structure theorem for finite fields
• New Wilson-like theorems arising from Dickson polynomials
• Dickson Polynomials, Hyperelliptic Curves and Hyper-bent Functions
• On Certain Character Sums

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