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Number Theory- arithmetic functions

  1. Apr 14, 2012 #1
    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.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 14, 2012 #2

    morphism

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    What would g be in this case?
     
  4. Apr 14, 2012 #3
    just a function
     
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