Sakha A. Alkabouss, Boualem Benseba, Nacira Berbara, S. Earp-Lynch, F. Luca
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A note on the Diophantine Equation x^2-kxy+ky^2+ly=0
We investigate the Diophantine equation x^2 −kxy + ky^2 + ly = 0 for integers k and l with k even. We give a characterization of the positive solutions of this equation in terms of k and l. We also consider the same equation for other values of k and l.