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arXiv · 2501.17136

On Monochromatic Solutions of Linear Equations Using At Least Three Colors

Laurence P. Wijaya
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Abstract

We study the number of monochromatic solution to linear equation in $\{1,\dots,n\}$ when we color the set by at least three colors. We consider the $r$-commonness for $r\geq 3$ of linear equation with odd number of terms, and we also prove that any $2$-uncommon equation is $r$-uncommon for any $r\geq 3$.

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Laurence P. Wijaya. 2025-06-26. On Monochromatic Solutions of Linear Equations Using At Least Three Colors. https://arxiv.org/abs/2501.17136

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