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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