Volume no :3, Issue no: 2, June (2010)

Journal of Algebra, Number Theory: Advances and Applications

HECKE OPERATORS AND GENERALIZED BERNOULLI-EULER POLYNOMIALS

Author's: Abdelmejid Bayad, Aykut Ahmet Aygünes and Yilmaz Simsek
Pages: [111] - [122]
Received Date: May 28, 2010
Submitted by:

Abstract

We introduce Hecke operators on the space of complex polynomials. We study their properties. We deduce that the generalized Bernoulli-Euler polynomials are eigenpolynomials for our Hecke operators. From this study, we obtain a new approach to the theory of Bernoulli and Euler polynomials.

Keywords

Hecke operators, Hurwitz zeta functions, Bernoulli and Euler numbers and polynomials.