I want to show that $$\operatorname{Li}_2(z)=z\int_{0}^{\infty}\frac{x}{e^x-z}dx$$
It is the integral of the Bose–Einstein distribution in dilogarithm case.
Thank you!
I want to show that $$\operatorname{Li}_2(z)=z\int_{0}^{\infty}\frac{x}{e^x-z}dx$$
It is the integral of the Bose–Einstein distribution in dilogarithm case.
Thank you!