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| On the Diophantine Equation x2 ? kxy + y2 + lx = 0 |
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Citation： |
Yongzhong HU,Maohua LE.On the Diophantine Equation x2 ? kxy + y2 + lx = 0[J].Chinese Annals of Mathematics B,2013,34(5):715~718 |
| Page view： 1843
Net amount： 1246 |
Authors： |
Yongzhong HU; Maohua LE; |
Foundation： |
National Natural Science Foundation of China (No. 10971184). |
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| Abstract： |
Let l be a given nonzero integer. The authors give an explicit characterization
of the positive integer k that makes the Diophantine equation x2 ?kxy +y2 +lx = 0 have
infinitely many positive integer solutions (x, y). |
Keywords： |
Quadratic Diophantine equation, Solvability, Counting solutions |
Classification： |
11D09 |
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