Vinogradov's theorem with almost equal summands. Issue 2 (21st April 2017)

• Record Type: Journal Article
• Authors: Matomäki, Kaisa; Maynard, James; Shao, Xuancheng
• Is Part Of: Proceedings of the London Mathematical Society. Volume 115:Issue 2(2017)
• Page Start: 323
• Page End: 347
• Publication Date: 2017-04-21
• Subjects: 11P32 -- 11P55 -- 11N35 -- 11B30 (primary); Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1112/plms.12040
• Languages: English
• ISSNs: 0024-6115

Abstract

Abstract: Let θ > 11 / 20 . We prove that every sufficiently large odd integer n can be written as a sum of three primes n = p 1 + p 2 + p 3 with | p i − n / 3 | ⩽ n θ for i ∈ { 1, 2, 3 } .