Relation to the Gamma Function 3
Click on the image for a detailed proof
\zeta(s)=\frac{1}{(1-2^{1-s})\Gamma(s)}\int_{0}^{\infty}\frac{x^{s-1}}{e^x+1}dx
This Formula is an interesting analytic continuation for the Riemann Zeta Function to the plane Re(s)>0.
The demonstration we propose is based on the Eta Function Formula.
Any questions?
Feel free to contact our authors at: [email protected], you will be put directly in touch with the person who wrote the text.
Didn’t find what you were looking for? Keep looking through all our formulas regarding the Riemann Zeta Function!
