@article{AMI_2019_50_a12, author = {Salah Eddine Rihane and Bernadette Faye and Florian Luca and Alain Togb\'e}, title = {An exponential {Diophantine} equation related to the difference between powers of two consecutive {Balancing} numbers}, journal = {Annales mathematicae et informaticae}, pages = {167--177}, publisher = {mathdoc}, volume = {50}, year = {2019}, doi = {10.33039/ami.2019.03.001}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.33039/ami.2019.03.001/} }