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Gyarmati–Ruzsa conjecture for $x^2+y^2=2z^2$
Gyarmati–Ruzsa conjecture. The equation $x^2+y^2=2z^2$ is partition regular.
Conjectureopendensity-regularity partition-regularity quadratic-equationsarXiv posted 2 days ago

Gyarmati–Ruzsa conjecture for x2+y2=2z2x^2+y^2=2z^2x2+y2=2z2