Robert C. Vaughan

Goldbach: A modern panorama


April 7, 2015, 10:40 — 11:30am at LIT 339 (Atrium).


Here I will build on my first talk by showing how many of the ideas stimulated by interest in the Goldbach conjectures and related questions have had widespread applications.  We illustrate this by considering the Montgomery-Hooley theorem on the distribution of primes in arithmetic progression, variants of the Goldbach questions in which the primes are restricted in peculiar ways, the question of prime partitions, a proof of the Bombieri–Vinogradov theorem, and the recent work of Zhang, Maynard and Tao on primes in short intervals which brings many of these ideas together.