Generating series for irreducible polynomials over finite fields
Algebraic Geometry
2009-10-16 v2 Combinatorics
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.
Cite
@article{arxiv.0910.1680,
title = {Generating series for irreducible polynomials over finite fields},
author = {Arnaud Bodin},
journal= {arXiv preprint arXiv:0910.1680},
year = {2009}
}