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Li FENG, Ping-Zhi YUAN. On a Class of Quadratic Diophantine Equations[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).
Citation: Li FENG, Ping-Zhi YUAN. On a Class of Quadratic Diophantine Equations[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).
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On a Class of Quadratic Diophantine Equations

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  • It is proved that the Diophantine equations x^2-kxy+y^2+lx=0, l\in \3,5\ have infinite number of positive integer solutions (x, y) if and only if (k,l)=(3,3),(4,3),(5,3),(3,5),(5,5),(7,5).
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