Florian Luca. "On the system of Diophantine equations $a^2 + b^2 = (m^2+1)^r$ and $a^x + b^y = (m^2 + 1)^z$." Acta Arithmetica 153.4 (2012): 373-392. <http://eudml.org/doc/279403>.
@article{FlorianLuca2012, author = {Florian Luca}, journal = {Acta Arithmetica}, keywords = {exponential Diophantine equation; Terai's conjecture; Gel'fond-Baker method}, language = {eng}, number = {4}, pages = {373-392}, title = {On the system of Diophantine equations $a^2 + b^2 = (m^2+1)^r$ and $a^x + b^y = (m^2 + 1)^z$}, url = {http://eudml.org/doc/279403}, volume = {153}, year = {2012}, }
TY - JOUR AU - Florian Luca TI - On the system of Diophantine equations $a^2 + b^2 = (m^2+1)^r$ and $a^x + b^y = (m^2 + 1)^z$ JO - Acta Arithmetica PY - 2012 VL - 153 IS - 4 SP - 373 EP - 392 LA - eng KW - exponential Diophantine equation; Terai's conjecture; Gel'fond-Baker method UR - http://eudml.org/doc/279403 ER -