Lethbridge Number Theory and Combinatorics Seminar: Quanli Shen

The ternary Goldbach problem stated that every odd integer greater than 5 can be written as sums of three primes. This was proved by Vinogradov for all sufficiently large odd integers and completely proved by Helfgott. On the other hand, by using Green's transference principle method one can extend Vinogradov's result to a density version. In this talk, I will talk about recent results in this direction.