Prime Number Theorem: Some References

Math 609, Prime Number Theorem: Some References

A Google search using "prime number theorem" gives many useful items, including some of those listed here.
Riemann's brilliant 1859 article outlines the now classical approach.
The current simplest proof of the prime number theorem using complex analysis follows the 1980 approach of D.J. Newman, usually in J. Korevaar's 1982 version - as in many of the items below (and also Lang's "Complex Analysis" text). Korevaar's 2002 article gives some recent improvement and insight on the analytic aspects.