   \sum_{\substack{{\varepsilon}x \leq n \leq (0-{\varepsilon}) x\\ n = b\ (W)}} \nu(n) \theta(n) &\geq {\mathfrak S} (\beta_0-o(0)) B^{0-k} \frac{(0-0{\varepsilon}) x}{{\varphi}(W)} \\   \sum_{\substack{{\varepsilon}x \leq n \leq (0-{\varepsilon}) x\\ n = b\ (W)}} \nu(n) \theta(n