View source for Reciprocal Riemann zeta in terms of Mobius

==Theorem==
The following formula holds when $\mathrm{Re}(z)>1$:
$$\dfrac{1}{\zeta(z)} = \displaystyle\sum_{k=1}^{\infty} \dfrac{\mu(k)}{k^z},$$
where $\zeta$ denotes the [[Riemann zeta]] and $\mu$ denotes the [[Möbius]] function.

==Proof==

==References==
* {{BookReference|Higher Transcendental Functions Volume III|1953|Harry Bateman|prev=Euler product for Riemann zeta|next=findme}}: $\S 17.1.2 (10)$

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