View source for Riemann zeta as integral of monomial divided by an exponential

__NOTOC__
==Theorem==
The following formula holds for $\rm{Re}(z)>1$:
$$\zeta(z) = \dfrac{1}{\Gamma(z)} \displaystyle\int_0^{\infty} \dfrac{t^{z-1}}{e^t-1} \rm{d}t,$$
where $\zeta$ denotes the [[Riemann zeta]] function and $e^t$ denotes the [[exponential]].

==Proof==

==Videos==
[https://www.youtube.com/watch?v=cFWMht03XME Zeta Integral by ei pi (5 July 2016)]<br />

==References==
* {{BookReference|The Zeta-Function of Riemann|1930|Edward Charles Titchmarsh|prev=Logarithmic derivative of Riemann zeta in terms of Mangoldt function|next=Riemann zeta as contour integral}}: § Introduction $(3)$

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