A transference principle for systems of linear equations, and applications to almost twin primes
From MaRDI portal
Publication:2691620
DOI10.2140/ant.2023.17.497OpenAlexW4360838529MaRDI QIDQ2691620
Joni Teräväinen, Pierre-Yves Bienvenu, Xuancheng Shao
Publication date: 29 March 2023
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.09001
Goldbach-type theorems; other additive questions involving primes (11P32) Arithmetic combinatorics; higher degree uniformity (11B30)
Cites Work
- Unnamed Item
- Unnamed Item
- The quantitative behaviour of polynomial orbits on nilmanifolds
- The Möbius function is strongly orthogonal to nilsequences
- The Green-Tao theorem: an exposition
- Linear equations in primes
- Vinogradov's theorem with Fouvry-Iwaniec primes
- The Green-Tao theorem for primes of the form \(x^2+y^2+1\)
- A relative Szemerédi theorem
- The primes contain arbitrarily long arithmetic progressions
- A density version of the Vinogradov three primes theorem
- Dense clusters of primes in subsets
- Higher order Fourier analysis of multiplicative functions and applications
- Are There Arbitrarily Long Arithmetic Progressions In The Sequence of Twin Primes?
- The Chen primes contain arbitrarily long arithmetic progressions
- A density version of Vinogradov's three primes theorem
- Patterns of Primes in Arithmetic Progressions
- THE GOLDBACH PROBLEM FOR PRIMES THAT ARE SUMS OF TWO SQUARES PLUS ONE
- AN ASYMPTOTIC FOR THE NUMBER OF SOLUTIONS TO LINEAR EQUATIONS IN PRIME NUMBERS FROM SPECIFIED CHEBOTAREV CLASSES
- Vinogradov’s three primes theorem with primes having given primitive roots
- Uniformity norms, their weaker versions, and applications
- A higher-dimensional Siegel–Walfisz theorem
- Vinogradov’s three primes theorem with almost twin primes
- Primes of the type φ(x, y)+A where φ is a quadratic form
- An inverse theorem for the Gowers \(U^{s+1}[N\)-norm]
This page was built for publication: A transference principle for systems of linear equations, and applications to almost twin primes