Monochromatic Translated Product and Answering Sahasrabudhe's Conjecture https://arxiv.org/abs/2412.17868 #mathCO
In this article, we prove for any finite coloring of $\mathbb{N}$, there exists $a,b$ such that $\{a,b, ab,(a+1)b\}$ is monochromatic. This disproves a conjecture of J. Sahasrabudhe.
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