Number theory

The plan is as follows. It is may be to ambitious, we don't have that much time.  4) and 6) are of lowest priority.

Geir

1) Introduction --- 1.3 in Pollack

2) Chebychev's estimates --- 1.5

3) Mertens' estimates --- 1.7

4) Dirichlet series

5) The prime number theorem --- I shall present the proof given by Newman, f. ex in "Complex proofs for real theorems" by Lax et al. 

6) Dirichlets theorem about primes in arithemtical progressions --- chapter 2 in Pollack.

Geir