Let n P₁ P2 = ppp be the prime factorisation of an integer n > 1. 1: ti A 11. C.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(4) Let n = ppp be the prime factorisation of an integer n > 1. If ƒ is a
P2
multiplicative function that is not identically zero, prove that
Zu(d)f(d) = (1 – f(p1))(1 − f(p2))…(1 – f(pr)).
din
Transcribed Image Text:(4) Let n = ppp be the prime factorisation of an integer n > 1. If ƒ is a P2 multiplicative function that is not identically zero, prove that Zu(d)f(d) = (1 – f(p1))(1 − f(p2))…(1 – f(pr)). din
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