On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^x+b^y=(m^2+1)^z$
Tom 153 / 2012
Acta Arithmetica 153 (2012), 373-392
MSC: Primary 11D61.
DOI: 10.4064/aa153-4-3