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A new identity of Dickson polynomials

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Publication:2123307
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DOI10.1016/j.ffa.2022.102012OpenAlexW4214847243MaRDI QIDQ2123307

Antonia Wilson Bluher

Publication date: 8 April 2022

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

Full work available at URL: https://arxiv.org/abs/1610.05853


zbMATH Keywords

Galois grouppermutation polynomialsplitting fieldDickson polynomialexceptional polynomialMCM polynomial


Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomials over finite fields (11T06)


Related Items (2)

An explanation for the similar appearance of two identities involving Dickson polynomials ⋮ Roots of certain polynomials over finite fields



Cites Work

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  • Unnamed Item
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  • On \(x^{q+1}+ax+b\)
  • New cyclic difference sets with Singer parameters
  • A new family of exceptional polynomials in characteristic two
  • Bivariate factorizations via Galois theory, with application to exceptional polynomials
  • Solving Solvable Quintics
  • A Class of Exceptional Polynomials
  • Bivariate factorizations connecting Dickson polynomials and Galois theory


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