On Monochromatic Solutions of Linear Equations Using At Least Three Colors

Published 28 Jan 2025 in math.CO and math.NT | (2501.17136v3)

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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Authors (1)

Laurence P. Wijaya

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