Relation to the Gamma Function 2
\zeta(s)=\frac{1}{\Gamma(s+1)}\int_{0}^{\infty}\frac{e^xx^s}{(e^x-1)^2}dx
This Formula linking the Gamma Function and the Riemann Zeta is a corollary of the First Gamma Function Formula. Even if simple to obtain, this relation comes up often when studying the Riemann Zeta Function.
It is very simple to demonstrate once you have proved the Relation to the Gamma Function 1.
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