A New Representation of the Riemann Zeta Function $\zeta (s)$

Abstract

A generalization of a well-known relation between the Riemann zeta function $\zeta (s)$ and Bernoulli numbers $B_n$ is obtained. The formula is a new representation of the Riemann zeta function in terms of a nested series of Bernoulli numbers.

12 pages, 2 figures, LaTeX2e, \usepackage[dvips]