Rainbow Numbers of $\mathbb{Z}_n$ for $a_1x_1+a_2x_2+a_3x_3 =b$

zbMath1459.05326arXiv1905.06296MaRDI QIDQ5148732

No author found.

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1905.06296

zbMATH Keywords

3-term arithmetic progressionsanti-Van der Waerden number

Mathematics Subject Classification ID

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

Related Items (1)

On the rainbow numbers of \(\mathbb{Z}_n\) for \(x_1 + x_2 = 4x_3\)

Cites Work

• Rainbow arithmetic progressions
• Rainbow-free colorings for \(x+y=cz\) in \(\mathbb Z_p\)
• On rainbow arithmetic progressions
• Rainbow arithmetic progressions in finite abelian groups
• An inverse theorem in \(\mathbb{Z}/p\mathbb{Z}\) and rainbow-free colorings
• Anti-van der Waerden numbers of 3-term arithmetic progression
• The structure of rainbow-free colorings for linear equations on three variables in Zp
• Rainbow Arithmetic Progressions and Anti-Ramsey Results
• Anti-van der Waerden Numbers of Graph Products

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