View source for Reciprocal of Riemann zeta as a sum of Möbius function for Re(z) greater than 1

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

==Proof==

==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Möbius function|next=Identity written as a sum of Möbius functions}}: $24.3.1. \mathrm{I}.B.$

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