Generating series for irreducible polynomials over finite fields. (arXiv:0910.1680v1 [math.AG])

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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Original source : http://arxiv.org/abs/0910.1680...