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Bounds for monochromatic solutions to $\{x+y,xy\}$

Year: 2025
Type: preprint
Abstract: Let $r$ be a sufficiently large positive integer, and let $N \ge \exp\exp(r^{50})$. Then any $r$-colouring of $[N]$ contains a monochromatic copy of $\{x+y,xy\}$ with $x > y > 2$.
Open Access status: green
OpenAlex ID: W4416528677
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