Fermat-like equations that are not partition regular
classification
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keywords
equationsfermat-likepartitionregularclasscoefficientsconditionsdiophantine
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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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