Integral representations of the generating function of the Riemann zeta function of integer arguments

In this article we give new integral representations for the ordinary generating functions of ζ(2n), nζ(2n+1) and ζ(2n+1) for n∈ Z*, n≥1; where  ζ(j) is the Riemann zeta function. We also give closed form expressionsfor the generating functions.