Ramsey properties of nonlinear Diophantine equations

@article{Nasso2016RamseyPO,
  title={Ramsey properties of nonlinear Diophantine equations},
  author={Mauro Di Nasso and Lorenzo Luperi Baglini},
  journal={arXiv: Combinatorics},
  year={2016}
}
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TLDR
Nonstandard methods, based on iterated hyperextensions, are used to develop applications to Ramsey theory of the theory of monads of ultrafilters, which extends to arbitrary sets and properties methods previously used to study partition regular Diophantine equations on N.
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