A New Representation of the Riemann Zeta Function $\zeta(s)$
  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. 
S.C. Woon (U. of Cambridge)