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Let T: C C be the function defined by T(z) = z. Prove that T is additive (as defined in

Chapter 2, Problem 38

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QUESTION:

Let T: C C be the function defined by T(z) = z. Prove that T is additive (as defined in Exercise 37) but not linear.

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QUESTION:

Let T: C C be the function defined by T(z) = z. Prove that T is additive (as defined in Exercise 37) but not linear.

ANSWER:

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An additive function is an arithmetic function of the positive integer variable such that whenever and are coprime, the function applied to the product is the sum of the values of the function applied to and :

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