Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

New paper accepted in Finite Fields and Their Applications

The paper by Sandro Mattarei and Marco Pizzato, Generalizations of self-reciprocal polynomials, has been accepted for publication in Finite Fields and Their Applications.

(See also https://arxiv.org/pdf/1609.07677.pdf.)

Abstract: A formula for the number of monic irreducible self-reciprocal polynomials, of a given degree over a finite field, was given by Carlitz in 1967. In 2011 Ahmadi showed that Carlitz’s formula extends, essentially without change, to a count of irreducible polynomials arising through an arbitrary quadratic transformation. In the present paper we provide an explanation for this extension, and a simpler proof of Ahmadi’s result, by a reduction to the known special case of self-reciprocal polynomials and a minor variation. We also prove further results on polynomials arising through a quadratic transformation, and through some special transformations of higher degree.

 

One comment on “New paper accepted in Finite Fields and Their Applications

  1. Evgeny Khukhro
    August 29, 2017

    Reblogged this on Maths & Physics News.

    Like

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This entry was posted on August 29, 2017 by in New publications, News and announcements.
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