Homework 5

This assignment is due by the beginning of class on Friday, March 6^{th}. 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 $f(24)$?