Prime zeta function

In mathematics, the Prime zeta function is an analogue of the Riemann zeta function. It is defined as the analytic continuation to $\mathbb {C}$ of the following infinite series, which converges for $\Re (s)>1$:

$P(s)=\sum _{p\,\in \mathrm {\,primes} }{\frac {1}{p^{s}}}.$

External links

• Prime Zeta Function, in Wolfram Mathworld