View source for Series for log(riemann zeta) over primes

==Theorem==
The following formula holds:
$$\log \left( \zeta(z) \right)=\displaystyle\sum_{p \hspace{2pt} \mathrm{prime}} \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{kp^{mz}},$$
where $\log$ denotes the [[logarithm]] and $\zeta$ denotes the [[Riemann zeta]].

==Proof==

==References==
* {{BookReference|The Zeta-Function of Riemann|1930|Edward Charles Titchmarsh|prev=Euler product for Riemann zeta|next=Series for log(Riemann zeta) in terms of Mangoldt function}}: § Introduction (2')

[[Category:Theorem]]
[[Category:Unproven]]