English

On Some Explicit Formulas for Bernoulli Numbers and Polynomials

Number Theory 2012-05-04 v2

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.

Keywords

Cite

@article{arxiv.1106.5247,
  title  = {On Some Explicit Formulas for Bernoulli Numbers and Polynomials},
  author = {Lazhar Fekih-Ahmed},
  journal= {arXiv preprint arXiv:1106.5247},
  year   = {2012}
}
R2 v1 2026-06-21T18:27:48.527Z