This course will consists of two parts;
Part I - the theory of sieve methods,
Part II - applications of sieve methods.
I will cover the theory of combinatorial sieve and the Selberg sieve. The large sieve methods and the mollification techniques will be added to the theory. Among numerous applications I will present the recent results on small gaps between prime numbers.
J. Friedlander and H. Iwaniec, OPERA DE CRIBRO, AMS Coll/57
Love of whole numbers