Vinogradov’s three primes theorem with almost twin primes

DOI10.1112/S0010437X17007072zbMath1395.11120arXiv1512.03213OpenAlexW2195367358MaRDI QIDQ5274773

Xuancheng Shao, Kaisa Matomäki

Publication date: 6 July 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03213

zbMATH Keywords

sieve methodtransference principletwin primesBohr setsVinogradov's theorem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Sieves (11N35)

Related Items (12)

On a ternary Diophantine equation involving fractional powers with prime variables of a special form ⋮ On a Diophantine inequality with prime numbers of a special type ⋮ A ternary Diophantine inequality with prime numbers of a special form ⋮ The Bombieri-Vinogradov theorem for nilsequences ⋮ A quaternary Diophantine inequality with prime numbers of a special form ⋮ Products of primes in arithmetic progressions ⋮ A transference principle for systems of linear equations, and applications to almost twin primes ⋮ THE GOLDBACH PROBLEM FOR PRIMES THAT ARE SUMS OF TWO SQUARES PLUS ONE ⋮ The twin prime conjecture ⋮ Goldbach numbers in short intervals ⋮ Möbius disjointness for nilsequences along short intervals ⋮ Vinogradov's theorem with Fouvry-Iwaniec primes

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