On the degrees of irreducible factors of higher order Bernoulli polynomials
On mth order Bernoulli polynomials of degree m that are Eisenstein
This paper deals with the irreducibility of the mth order Bernoulli polynomials of degree m. As m tends to infinity, Eisenstein's criterion is shown to imply irreducibility for asymptotically > 1/5 of these polynomials.
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