A Friendly Intro to Sieves with a Look Towards Recent Progress on the Twin Primes Conjecture
arXiv:1401.7555
Abstract
This is an extension and background to a talk I gave on 9 October 2013 to the Brown Graduate Student Seminar, called `A friendly intro to sieves with a look towards recent progress on the twin primes conjecture.' During the talk, I mention several sieves, some with a lot of detail and some with very little detail. I also discuss several results and built upon many sources. I'll provide missing details and/or sources for additional reading here.
Notes from a talk given to seminar at Brown