On mth order Bernoulli polynomials of degree m that are Eisenstein
Volume 93 / 2002
Colloquium Mathematicum 93 (2002), 21-26
MSC: Primary 11B68; Secondary 11R09, 12E05.
DOI: 10.4064/cm93-1-3
Abstract
This paper deals with the irreducibility of the $m$th 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.
