Partition regularity and the primes

DOI10.1016/j.crma.2012.04.011zbMath1275.11023OpenAlexW2076139599MaRDI QIDQ432669

Thái Hoàng Lê

Publication date: 4 July 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.04.011

Mathematics Subject Classification ID

Partitions of sets (05A18) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (4)

On improving a Schur-type theorem in shifted primes ⋮ A Diophantine Ramsey theorem ⋮ Rado's criterion over squares and higher powers ⋮ Bootstrapping partition regularity of linear systems

Cites Work

• Unnamed Item
• Combinatorial theorems in sparse random sets
• The Möbius function is strongly orthogonal to nilsequences
• The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems
• A Schur-type addition theorem for primes
• Roth's theorem in the primes
• Linear equations in primes
• Studien zur Kombinatorik
• The primes contain arbitrarily long arithmetic progressions
• Partitionen und lineare Gleichungssysteme
• Image Partition Regularity of Matrices
• An inverse theorem for the Gowers \(U^{s+1}[N\)-norm]

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