Generating series for irreducible polynomials over finite fields
Arnaud Bodin · arXiv (Cornell University) · 2009
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.