Long arithmetic progressions in \(A+A+A\) with \(A\) a prime subset

DOI10.1016/j.jnt.2012.01.011zbMath1271.11013OpenAlexW2222446344MaRDI QIDQ415260

Hongze Li, Zhen Cui, Bo Qing Xue

Publication date: 11 May 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.01.011

zbMATH Keywords

arithmetic progressionsumsetsadditive combinatoricssubsets of the primesW-trick

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• Unnamed Item
• A probabilistic technique for finding almost-periods of convolutions
• On Roth's theorem on progressions
• Roth's theorem in the primes
• Intersective polynomials and the primes
• A polynomial bound in Freiman's theorem.
• The primes contain arbitrarily long arithmetic progressions
• Restriction theory of the Selberg sieve, with applications
• On sums of sets of primes with positive relative density
• Additive structures in sumsets
• A density version of Vinogradov's three primes theorem
• Difference sets and polynomials of prime variables
• Integer Sum Sets Containing Long Arithmetic Progressions
• Improving Roth's Theorem in the Primes
• On Certain Sets of Integers
• Arithmetic progressions in sumsets
• Arithmetic progressions in sumsets

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