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arxiv: 1501.05085 · v1 · pith:S2AV5MENnew · submitted 2015-01-21 · 🧮 math.CO

A Note on a Question of ErdH{o}s & Graham

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keywords grahamnotewhetheraffirmativeboundequationequationsfinite
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Erd\H{o}s & Graham ask whether the equation $x^2+y^2=z^2$ is partition regular, i.e. whether it has a finite Rado number. This note provides a lower bound and also states results in the affirmative for two similar quadratic equations.

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