The formula that you provided is only valid for complex s with real parts greater than 1. Read the wiki page for more information:
http://en.wikipedia.org/wiki/Riemann_zeta_function
Anthony
Hi,
I'm looking to show that the metric space of convergent complex sequences under the sup norm is not separable; that is what I assume it is since I cannot find a way to prove that it is separable (I am unable to find any dense subsets).
A set of complex sequences convergent to a certain...