Sur une application de la théorie de la fonction $R(w,s) = \sum_{\nu=0}^\infty \frac{1}{(w+\nu)^s}(French) [On an application of the theory of the function $R(w,s) = \sum_{\nu=0}^\infty \frac{1}{(w+\nu)^s}].Ann. Acad. Polytech. Porto 2 (1907), 193--197