|
|||||
|
|
| On the Diophantine Equation x2 - kxy ＋ y2 ＋ 1x = 0 | |
| 作者姓名： | Yongzhong HU Maohua LE |
| 作者单位： | [1]Department of Mathematics, Foshan University, Foshan 528000, Cuangdong, China. [2]Institute of Mathematics, Zhanjiang Normal College, Zhanjiang 524048, Guangdong, China. |
| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10971184）. |
| 摘 要： | 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). |
| 关 键 词： | Quadratic Diophantine equation Solvability Counting solutions |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ | |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 | |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 | |