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Thread: Hi guys

  1. #1
    Nov 2012

    Question Hi guys

    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 denote the Mobius
    function. Show that ∑ (d) f(d) = (1 -f(p1)) ..... (1 - f(pr))

    Can you help me to solve these questions,please?
    Last edited by Dulok; Nov 3rd 2012 at 09:39 AM. Reason: Arithmetic Multiplicative Function -Number Theory
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