Monochromatic Solutions to

DOI10.4153/CJM-2017-036-1zbMath1439.11076arXiv1608.08374MaRDI QIDQ5378581

Ben Green, Sofia Lindqvist

Publication date: 3 June 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08374

zbMATH Keywords

Ramsey theoryadditive combinatorics

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Ramsey theory (05D10)

Related Items (8)

Using Ultrafilters to Prove Ramsey-type Theorems ⋮ Towards characterizing the 2-Ramsey equations of the form \(ax + by = p(z)\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On monochromatic solutions to \(x-y=z^2\) ⋮ A Diophantine Ramsey theorem ⋮ Rado's criterion over squares and higher powers ⋮ Bootstrapping partition regularity of linear systems

Cites Work

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• Density and Ramsey type results on algebraic equations with restricted solution sets
• A Szemerédi-type regularity lemma in abelian groups, with applications
• An arithmetic regularity lemma, associated counting lemma, and applications
• On the Number of Monochromatic Solutions of x + y =z 2

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