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math.CO2016
Ramsey properties of nonlinear Diophantine equations
Mauro Di Nasso, Lorenzo Luperi Baglini
We prove general sufficient and necessary conditions for the partition regularity of Diophantine equations, which extend the classic Rado's Theorem by covering large classes of non…
math.LO2016
Fermat-like equations that are not partition regular
Mauro Di Nasso, Maria Riggio
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^…