| 关于连续勾股丢番图方程 |
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| 引用本文： | 王庆平,陈德新. 关于连续勾股丢番图方程[J]. 高师理科学刊, 1995, 0(4) |
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| 作者姓名： | 王庆平 陈德新 |
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| 作者单位： | 齐齐哈尔铁路运输职工大学(王庆平)，齐齐哈尔第三职业中学(陈德新) |
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| 摘 要： | 本文给出了连续勾股丢番图方程x~2+（x+l）~2=z~2全部解的递推公式,并且给出了更一般地勾股丢番图方程x~2+（x+k）~2=z~2有正整数解的充要条件。
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| 关 键 词： | 连续勾股数 丢番图方程 pell方程 |
On the Continued Pythagorean Diophantine Equation |
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| Wang Qingping. On the Continued Pythagorean Diophantine Equation[J]. Journal of Science of Teachers＇College and University, 1995, 0(4) |
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| Authors: | Wang Qingping |
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| Affiliation: | Wang Qingping (Qiqihar Railway Woker-and -staff University) Chen Dexin(Qiqihar No. 3 Vocational School) |
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| Abstract: | In this paper the general recurrence formula of solution of continued Pythagorean diophantine equation is given,and the necessary and sufficient condition of diophantine equation x2+(x+k)2=z2 is obtained. |
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| Keywords: | Continued pythagorean number Diophantine equation Pill' s equation |
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