This is the 2nd part to my questions:

I don't know if the following definition is needed, but I will include it.

is a positive integer and and are arithmetic functions. denotes the Dirichlet series for , so

=

(2) Define = . Show that

(a) If then for all primes and all

=

(b) =

(c)

(d) .

Any help/hints/suggestions would be greatly appreciated. Thanks!