16:640:573 Special Topics in Number Theory

Fall 2019

Henryk Iwaniec


Sieve Methods

Course Description:

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