Abstract
Suppose that N is 2-coloured. Then there are infinitely many monochromatic solutions to x + y = z2. On the other hand, there is a 3-colouring of N with only finitely many monochromatic solutions to this equation.
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APA
Green, B. J., & Lindqvist, S. (2019). Monochromatic solutions to X + y = Z2. Canadian Journal of Mathematics, 71(3), 579–605. https://doi.org/10.4153/CJM-2017-036-1
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