On mth order Bernoulli polynomials of degree m that are Eisenstein

• Autorzy: Arnold Adelberg , Michael Filaseta
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11B68: Bernoulli and Euler numbers and polynomials
• 12E05: Polynomials (irreducibility, etc.)
• 11R09: Polynomials (irreducibility, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 21-26

Daty

wydano

2002

Twórcy

autor

Arnold Adelberg

• Department of Mathematics, Grinnell College, Grinnell, IA 50112, U.S.A.

autor

Michael Filaseta

• Mathematics Department, University of South Carolina, Columbia, SC 29208, U.S.A.

Identyfikatory

DOI

10.4064/cm93-1-3