On Some Explicit Formulas for Bernoulli Numbers and Polynomials

Abstract

We provide direct elementary proofs of several explicit expressions for Bernoulli numbers and Bernoulli polynomials. As a byproduct of our method of proof, we provide natural definitions for generalized Bernoulli numbers and polynomials of complex order.

References in corpus (2)

• On the zeros of the Riemann Zeta function
• On the Hurwitz Zeta Function

Cited by in corpus (1)

• Bernoulli, Ramanujan, Toeplitz and the triangular matrices