Just out of curiosity : has the equation $ x^r+y^r=z^r,\qquad(x,y,z)\in\Bbb Z^3,\quad r\in\Bbb R, $ been studied? Any non trivial result for $r\in\Bbb R\setminus\Bbb N$ ?
Fermat's equation with real exponents
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0My question was marked as a duplicate of a question that was posed 5 months *after* mine was. math.stackexchange watchdogs like time paradoxes. – 2016-08-22