Are monochromatic Pythagorean triples unavoidable under morphic colorings ?

S Eliahou, J Fromentin, V Marion-Poty +1

A Pythagorean triple is a triple of positive integers a, b, c $\in$ N${}^{+}$ satisfying a${}^2$ + b${}^2$ = c${}^2$. Is it true that, for any finite coloring of N${}^{+}$ , at lea…