Arnaud Bodin, Pierre Dèbes, Salah Najib
Published 2007-01-31Version 1
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 vary, then the polynomial is irreducible for all but at most deg(P)^2-1 values of the coefficient. We more generally handle the situation where several specified coefficients vary.
Irreducibility via location of zeros
The 2-adic valuation of the coefficients of a polynomial
On the irreducibility of a truncated binomial expansion
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