roca
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Problem: Show that for each k, the function σk(n)=Ʃd|n dk is multiplicative.
The attempt at a solution:
What I know is that I am supposed to use the Lemma which states that if g is a multiplicative function and f(n)=Ʃd|n g(d) for all n, then f is multiplicative. I am just very confused on how to apply this theorem to my problem.
The attempt at a solution:
What I know is that I am supposed to use the Lemma which states that if g is a multiplicative function and f(n)=Ʃd|n g(d) for all n, then f is multiplicative. I am just very confused on how to apply this theorem to my problem.