Homework 5

This assignment is due by the beginning of class on Friday, March 6th. Be sure to review the homework guidelines before getting started.

  • From Strayer, Chapter 3, do the following problems:
    • 26
    • 31
    • 42(g)
    • 43
    • 46
    • 52
    • 60
    • 66 [Hint: Prove that the function h defined by h(d) = \mu(d)f(d) is multiplicative]
  • Evaluate (f*g)(12) in the following cases
    • f = \mu, g= \sigma_2
    • f=\nu, g= \phi
    • f = \phi, g = \sigma
  • For a certain arithmetic function f, you are told that f(1) = 3, f(4) = 2, f(8) = 5, f(12) = 1. You are also told that (f * \mu)(24) = 100. What is f(24)?
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