On monochromatic solutions to \(x-y=z^2\)

DOI10.1007/s10474-020-01079-6zbMath1474.42035arXiv2008.07297OpenAlexW3049247991MaRDI QIDQ2220976

Tom Sanders

Publication date: 25 January 2021

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07297

zbMATH Keywords

additive combinatorics

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Counting solutions of Diophantine equations (11D45) Fourier series and coefficients in several variables (42B05) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (1)

On improving a Schur-type theorem in shifted primes

Cites Work

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• A density statement generalizing Schur's theorem
• Partition regularity of generalised Fermat equations
• Density and Ramsey type results on algebraic equations with restricted solution sets
• On the Number of Monochromatic Solutions of x + y =z 2
• On difference sets of sequences of integers. I
• Monochromatic Solutions to

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