On mth order Bernoulli polynomials of degree m that are Eisenstein
Arnold Adelberg ; Michael Filaseta
Colloquium Mathematicae, Tome 91 (2002), p. 21-26 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284760 
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     author = {Arnold Adelberg and Michael Filaseta},
     title = {On mth order Bernoulli polynomials of degree m that are Eisenstein},
     journal = {Colloquium Mathematicae},
     volume = {91},
     year = {2002},
     pages = {21-26},
     zbl = {1015.11006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-3}
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Arnold Adelberg; Michael Filaseta. On mth order Bernoulli polynomials of degree m that are Eisenstein. Colloquium Mathematicae, Tome 91 (2002) pp. 21-26. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-1-3/