Monochromatic solutions to x + y = z²

2016/08/30 by Green, Ben, Lindqvist, Sofia
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1608.08374

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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