# Riemann zeta function - one identity

Let $$p_n$$ be number of Non-Isomorphic Abelian Groups by order $$n$$. For $$R(s)>1$$ with $$\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s}$$ we define Riemann zeta function. Fundamental theorem of arithmetic is biconditional with fact that $$\zeta(s)=\prod_{p} (1-p^{-s})^{-1}$$ for $$R(s)>1$$. Proove that for $$R(s)>1$$ is: $$\sum_{n=1}^{\infty}\frac{p_n}{n^s}=\prod_{j=1}^{∞}\zeta(js)$$.

Do you know where can I found this proof (or maybe you know it )