On mth order Bernoulli polynomials of degree m that are Eisenstein

Arnold Adelberg, and Michael Filaseta. "On mth order Bernoulli polynomials of degree m that are Eisenstein." Colloquium Mathematicae 93.1 (2002): 21-26. <http://eudml.org/doc/284760>.

@article{ArnoldAdelberg2002,
abstract = {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.},
author = {Arnold Adelberg, Michael Filaseta},
journal = {Colloquium Mathematicae},
keywords = {Bernoulli polynomials; Bernoulli numbers; irreducibility of polynomials; Eisenstein polynomials},
language = {eng},
number = {1},
pages = {21-26},
title = {On mth order Bernoulli polynomials of degree m that are Eisenstein},
url = {http://eudml.org/doc/284760},
volume = {93},
year = {2002},
}

TY - JOUR
AU - Arnold Adelberg
AU - Michael Filaseta
TI - On mth order Bernoulli polynomials of degree m that are Eisenstein
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 21
EP - 26
AB - 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.
LA - eng
KW - Bernoulli polynomials; Bernoulli numbers; irreducibility of polynomials; Eisenstein polynomials
UR - http://eudml.org/doc/284760
ER -