On  mth order Bernoulli polynomials of degree m
 that are Eisenstein

Arnold Adelberg; Michael Filaseta

doi:10.4064/cm93-1-3

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On mth order Bernoulli polynomials of degree m that are Eisenstein

Tom 93 / 2002

Arnold Adelberg, Michael Filaseta Colloquium Mathematicum 93 (2002), 21-26 MSC: Primary 11B68; Secondary 11R09, 12E05. DOI: 10.4064/cm93-1-3

Streszczenie

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.

Autorzy

Arnold AdelbergDepartment of Mathematics
Grinnell College
Grinnell, IA 50112, U.S.A.
e-mail
Michael FilasetaMathematics Department
University of South Carolina
Columbia, SC 29208, U.S.A.
e-mail

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