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Green, Ben Joseph; Lindqvist, Sofia
Monochromatic solutions to $x + y = z^2$
Suppose that $\mathbb{N}$ is $2$-coloured. Then there are infinitely many monochromatic solutions to $x + y = z^2$. On the other hand, there is a $3$-colouring of $\mathbb{N}$ with only finitely many monochromatic solutions to this equation.

Keywords:additive combinatorics, Ramsey theory
Categories:11B75, 05D10

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