Problem 1, page 26 (add details to the brief sketch of this that was made in class).

Problem 9, page 27.

Problem 17, page 27.

Problem 20, page 27.

Problem 25, page 27. (You will receive full credit for showing the formal identity when s=2. By “formal identity” it means that you do not need to prove convergence. Hint: look at the first few lines of the proof of Theorem 3, which does the case s=1 (which was also covered in class on Sep7 ). Adapt the argument to s=2. When s=2 the series is 1 + 1/2^2 + 1/3^2 + 1/4^2 + … Can you find a way to “factor” this using prime factorization in the same way we factored 1 + 1/2 + 1/3 + 1/4 + … in class on Wednesday?