Generalizations of self-reciprocal polynomials

  title={Generalizations of self-reciprocal polynomials},
  author={Sandro Mattarei and Marco Pizzato},
  journal={Finite Fields Their Appl.},
Invariant theory of a special group action on irreducible polynomials over finite fields
In the past few years, an action of $\mathrm{PGL}_2(\mathbb F_q)$ on the set of irreducible polynomials in $\mathbb F_q[x]$ has been introduced and many questions have been discussed, such as the
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Let R(x) = g(x)/h(x) be a rational expression of degree three over the finite field Fq. We count the irreducible polynomials in Fq[x], of a given degree, which have the form h(x) f · f ( R(x) ) for
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    Applicable Algebra in Engineering, Communication and Computing
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Infinite sequences of irreducible self-reciprocal polynomials are constructed by iteration of thisQ-transformation.
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