Prescribing coefficients of invariant irreducible polynomials

Kapetanakis, Georgios (2017) Prescribing coefficients of invariant irreducible polynomials. (Accepted/In Press)

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Official URL: http://dx.doi.org/10.1016/j.jnt.2017.05.003


Let Fq be the finite field of q elements. We define an action of PGL(2,q) on Fq[X] and study the distribution of the irreducible polynomials that remain invariant under this action for lower-triangular matrices. As a result, we describe the possible values of the coefficients of such polynomials and prove that, with a small finite number of possible exceptions, there exist polynomials of given degree with prescribed high-degree coefficients.

Item Type:Article
Subjects:Q Science > QA Mathematics > QA150-272.5 Algebra
ID Code:32695
Deposited By:Georgios Kapetanakis
Deposited On:16 Aug 2017 11:29
Last Modified:22 May 2019 13:53

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