Chapter 2, MNT pages 26-27
- Problem 11
- Problem 13 (Hint: insert a “k” where appropriate in the argument on page 19).
- Problem 15a (Hint: do you recognize this as a Dirichlet product? How is the formula related to the Moebius inversion formula?)
- Problem 26a,b. There is no need to prove convergence of either side. For full credit, it is enough to work the case s=2. (Hint: use the product formula over primes in problem 25 for zeta(s).)
Chapter 3, MNT pages 36-37
- Problem 2
- Problem 4 (Hint: if an equation has no solutions modulo m for some m, then it has no solutions in the integers.)