m A. (2 points) Let S(m) = for all m E N. Prove the following holds n n= using Theorem 3.10: E o(n) n ES (LTD) 3.10 The partial sums of a Dirichlet product Theorem 3.10 If h = f * g, let H(x) = Eh(n), F(x) = _ f(n), and G(x) = _ g(n). MSx MSx nsx Then we have (14) H(x) = [ f(m)G(* ) = > g(n)F(x nsx nsx PROOF. We make use of the associative law (Theorem 2.21) which relates the operations . and *. Let U(x) = So if0