I have question about Number Theory ! which are :
(i) Let g be an arithmetic multiplicative function with g(1) = 1. Show that the functiondeﬁned by
G(n): =∑ d|n g(d)
is multiplicative.
(ii) Suppose that f is a multiplicative function, with f(1) = 1 and let µ denote the Mobius
function. Show that ∑ µ(d) f(d) = (1 -f(p1)) ..... (1 - f(pr))
Can you help me to solve these questions,please?