A density version of the Vinogradov three primes theorem

DOI10.1215/00127094-2410176zbMath1330.11062arXiv1206.6139OpenAlexW2029777213MaRDI QIDQ2444652

Xuancheng Shao

Publication date: 10 April 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.6139

zbMATH Keywords

transference principleGoldbach conjectureVinogradov three primes theorem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Representation problems (11D85)

Related Items (11)

The ternary Goldbach problem with primes in positive density sets ⋮ Refined Goldbach Conjectures with Primes in Progressions ⋮ On infinite arithmetic progressions in sumsets ⋮ Computers as a novel mathematical reality. IV: The Goldbach problem ⋮ Zeta functions and asymptotic additive bases with some unusual sets of primes ⋮ Products of primes in arithmetic progressions ⋮ A transference principle for systems of linear equations, and applications to almost twin primes ⋮ A density version of Waring’s problem ⋮ Vinogradov’s three primes theorem with primes having given primitive roots ⋮ AN -FUNCTION-FREE PROOF OF VINOGRADOV’S THREE PRIMES THEOREM ⋮ Vinogradov's theorem with Fouvry-Iwaniec primes

Cites Work

• Unnamed Item
• Unnamed Item
• Roth's theorem in the primes
• The ternary Goldbach problem
• The primes contain arbitrarily long arithmetic progressions
• Restriction theory of the Selberg sieve, with applications
• A density version of Vinogradov's three primes theorem

This page was built for publication: A density version of the Vinogradov three primes theorem