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arXiv · 2109.02000

Counting irreducible polynomials with prescribed coefficients over a finite field

Zhicheng Gao·Simon Kuttner·Qiang Wang
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Abstract

We continue our study on counting irreducible polynomials over a finite field with prescribed coefficients. We set up a general combinatorial framework using generating functions with coefficients from a group algebra which is generated by equivalent classes of polynomials with prescribed coefficients. Simplified expressions are derived for some special cases. Our results extend some earlier results.

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Zhicheng Gao, Simon Kuttner, Qiang Wang. 2021-09-05. Counting irreducible polynomials with prescribed coefficients over a finite field. https://arxiv.org/abs/2109.02000

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