43 research outputs found
A Density Version of the Vinogradov Three Primes Theorem
We prove that if A is a subset of the primes, and the lower density of A in
the primes is larger than 5/8, then all sufficiently large odd positive
integers can be written as the sum of three primes in A. The constant 5/8 in
this statement is the best possible.Comment: 17 pages. To appear in Duke Math Journal. This is the final version,
incorporating referee's suggestion