The text in analytic number theory

We start we some parts from the book:

Not Buried Very Deep by Paul Pollack.

You find it on the net:

http://staff.polito.it/danilo.bazzanella/PhD_files/Not%20always%20buried%20deep%20(Pollack).pdf

A very good account of the  proof of the prime number theorem I'll give, is found in

Complex Proofs of Real Theorems by Peter Lax and Lawrence Zalcman.