%0 Journal Article %A Florian Luca %T On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^x+b^y=(m^2+1)^z$ %J Acta Arithmetica %D 2012 %P 373-392 %V 153 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa153-4-3/ %R 10.4064/aa153-4-3 %G en %F 10_4064_aa153_4_3