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arXiv · 0910.1680

Generating series for irreducible polynomials over finite fields

Arnaud Bodin
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Abstract

We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact formula and an asymptotic approximation. We also consider the case of the multi-degree and the case of indecomposable polynomials.

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Arnaud Bodin. 2009-10-16. Generating series for irreducible polynomials over finite fields. https://arxiv.org/abs/0910.1680

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