Geodesic
On mth order Bernoulli polynomials of degree m that are Eisenstein
Arnold Adelberg1 ; Michael Filaseta2
1 Department of Mathematics Grinnell College Grinnell, IA 50112, U.S.A.
2 Mathematics Department University of South Carolina Columbia, SC 29208, U.S.A.
Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 21-26.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm93-1-3
Keywords: paper deals irreducibility mth order bernoulli polynomials degree tends infinity eisensteins criterion shown imply irreducibility asymptotically these polynomials

Arnold Adelberg 1 ; Michael Filaseta 2

1 Department of Mathematics Grinnell College Grinnell, IA 50112, U.S.A.
2 Mathematics Department University of South Carolina Columbia, SC 29208, U.S.A. 
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Arnold Adelberg; Michael Filaseta. On  mth order Bernoulli polynomials of degree m
 that are Eisenstein. Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 21-26. doi : 10.4064/cm93-1-3. http://geodesic.mathdoc.fr/articles/10.4064/cm93-1-3/

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