# Suppose the arithmetic function Y = f(N) satisfies Es(Y ) = 0 for all s = r > 1. Show that Y =…

Suppose the arithmetic function Y = f(N) satisfies Es(Y ) = 0 for all s ≥ r > 1. Show that Y ≡ 0. (Hint: Prove that f(n) = 0 for all n by induction and sending s to ∞ in the equation ns Es(Y ) = 0.) Demonstrate that neither ϕ(n) nor μ(n) is completely multiplicative. Show that the Dirichlet convolution of two completely […]