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math.AC2007★ 2 cited
Number of irreducible polynomials in several variables over finite fields
Arnaud Bodin
We give a formula and an estimation for the number of irreducible polynomials in two (or more) variables over a finite field.
math.NT2007
Irreducibility of hypersurfaces
Arnaud Bodin, Pierre Dèbes, Salah Najib
Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to var…