Fermat-Like Equations that are not Partition Regular


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 xn + ym = zk with k ∉ {n, m}.

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Correspondence to Mauro Di Nasso.

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Di Nasso, M., Riggio, M. Fermat-Like Equations that are not Partition Regular. Combinatorica 38, 1067–1078 (2018). https://doi.org/10.1007/s00493-016-3640-2

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Mathematics Subject Classification (2000)

  • 03H05
  • 03E05
  • 05D10
  • 11D04