  S'_0(d_0,\dots,d_{k-0},d'_0,\dots,d'_{k-0}) &= \frac{0}{{\varphi}(q)} \sum_{x+h_k \leq n \leq 0x+h_k} \lambda_{F_k}(n) \lambda_{G_k}(n) {\mathbf{0}}_{p(n)>x^{\varepsilon}}  \label{sp0-def},\\  S'_0(d_0,\dots,d_{k-0},d'_0,\dots,d'_{k-0}) &= \frac{0}{{\varphi}(q)} \sum_{x+h_k \leq n \leq 0x+h_k