Chapter 15 Applying the Selberg sieve
\(f: \NN \to \RR_{\geq 0}\)\(P\)\(P(z) = \prod_{p \leq z, p \in P} p\text{.}\)\(d | P(z)\text{,}\)\(X>0\)\(g\)\(0 \lt g(p) \lt 1\)\(p \in P\text{.}\)\(h(d)\)\(h(p) = g(p) (1-g(p))^{-1}\)\(p \in P\text{,}\)\(y > 1\text{.}\)\(\lambda^+(d)\)\(\tau_3(d)\text{,}\)\(d\)\(f\)\(\sum_{n \leq x} f(n)\text{.}\)\(f\)\(e\)\(\kappa > 0\text{,}\)\(\kappa > -1/2\text{,}\)\(c_f\)\(XH^{-1}\text{,}\)\(H\text{.}\)\(g(d) = d^{-1}\text{;}\)\(\kappa > 0\text{,}\)\(g(p) = c/p\text{.}\)\(g\)\(r_d\)\(g(d) = d^{-1}\)\(P\)\(\sum_{n=1}^\infty f(n) n^{-s}\)\(c_f\)\(\zeta(s+1)^\kappa\)\(\sigma\)
