  This paper continues a series of investigations on converging representations
for the Riemann Zeta function. We generalize some identities which involve
Riemann's zeta function, and moreover we give new series and integrals for the
zeta function. The results originate from attempts to extend the zeta function
by classical means on the complex plane. This is particularly of interest for
representations which converge rapidly in a given area of the complex plane, or
for the purpose to make error bounds available.
