Geodesic
Monochromatic Solutions to $x+y=z^{2}$
Canadian journal of mathematics, Tome 71 (2019) no. 3, pp. 579-605

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DOI

Suppose that 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 N with only finitely many monochromatic solutions to this equation.
DOI : 10.4153/CJM-2017-036-1
Mots-clés : additive combinatorics, Ramsey theory 
Green, Ben Joseph; Lindqvist, Sofia. Monochromatic Solutions to $x+y=z^{2}$. Canadian journal of mathematics, Tome 71 (2019) no. 3, pp. 579-605. doi: 10.4153/CJM-2017-036-1
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     title = {Monochromatic {Solutions} to $x+y=z^{2}$},
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     year = {2019},
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