Monochromatic sum and product in \(\mathbb{Z} / m \mathbb{Z}\)

DOI10.1016/J.JNT.2014.02.004zbMath1296.11017OpenAlexW1979650048MaRDI QIDQ740377

Le Anh Vinh

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.02.004

zbMATH Keywords

monochromatic productmonochromatic sum

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Coloring of graphs and hypergraphs (05C15) Ramsey theory (05D10) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

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• Spectra of graphs
• On monochromatic solutions of some nonlinear equations in \(\mathbb Z/p\mathbb Z\)
• On monochromatic solutions of equations in groups
• Partition theorems for Abelian groups
• Studien zur Kombinatorik
• Combinatorial problems in finite fields and Sidon sets
• On the number of monochromatic solutions of integer linear systems on abelian groups
• Partitionen und lineare Gleichungssysteme
• Incidences and the Spectra of Graphs
• Open Problems in Partition Regularity
• On minimal colorings without monochromatic solutions to a linear equation

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