Bodin, Arnaud Number of irreducible polynomials in several variables over finite fields. (English) Zbl 1219.12003 Am. Math. Mon. 115, No. 7, 653-660 (2008). The author gives a formula and an estimation for the number of irreducible polynomials in two (or more) variables over a finite field. The results are much more complicated than in the case of univariate polynomials. Reviewer: Maurice Mignotte (Strasbourg) Cited in 1 ReviewCited in 6 Documents MSC: 12E05 Polynomials in general fields (irreducibility, etc.) 12E20 Finite fields (field-theoretic aspects) Keywords:estimation for the number of irreducible polynomials over finite fields; multivariate polynomials PDF BibTeX XML Cite \textit{A. Bodin}, Am. Math. Mon. 115, No. 7, 653--660 (2008; Zbl 1219.12003) Full Text: DOI Link arXiv