"Vinogradov's theorem in twin almost primes"
An old theorem of Hardy-Littlewood and Vinogradov says that all large odd integers can be written as a sum of three primes; this is the ternary version of the Goldbach conjecture. Recent breakthroughs by Zhang and by Maynard show that there are infinitely many primes with a close neighboring prime. In this talk, I will discuss a hybrid version of these two results, and the focus will be on the underlying ideas coming from both additive combinatorics and sieve theory.
This is joint work with Kaisa Matomaki.
Refreshments will be served in MC 5501 at 3:30 pm.