Relation to the Gamma Function 1

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\zeta(s)=\frac{1}{\Gamma(s)}\int_{0}^{\infty}\frac{x^{s-1}}{e^x-1}dx

One of the first relations discovered connecting the Gamma Function and the Riemann Zeta; this equation is one of the building blocks of Riemann’s analysis in his original 1859 paper (you can see our Lesson regarding the paper here).

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