%0 Journal Article %A Takafumi Miyazaki %T A note on the article by F. Luca β€œOn the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^{x}+b^y=(m^2+1)^z$” (Acta Arith. 153 (2012), 373–392) %J Acta Arithmetica %D 2014 %P 31-42 %V 164 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa164-1-3/ %R 10.4064/aa164-1-3 %G en %F 10_4064_aa164_1_3