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arXiv · 1605.07527

Fermat-like equations that are not partition regular

Mauro Di Nasso·Maria Riggio
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Abstract

By means of elementary conditions on coefficients, we isolate a large class of Fermat-like Diophantine equations that are not partition regular, the simplest examples being $x^n+y^m=z^k$ with $k\notin\{n,m\}$.

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Mauro Di Nasso, Maria Riggio. 2016-05-24. Fermat-like equations that are not partition regular. https://arxiv.org/abs/1605.07527

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