| 关于勾股数组的解 |
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| 引用本文： | 梁刚现.关于勾股数组的解[J].曲阜师范大学学报,1992,18(3):69-71. |
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| 作者姓名： | 梁刚现 |
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| 作者单位： | 烟台电视大学数学系 264001，山东省烟台市 |
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| 摘 要： | 对大于2的正整数 x,给出了:求满足方程 x~2+y~2=z~2的正整数解(y,z)的一个公式;由 x 所确定的正整数解(y,z)的个数;满足(x,y,z)=1的正整数解的充要条件.
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| 关 键 词： | 互补 约数对 勾股整数 勾股数组 |
ON THE SOLUTION OF PYTHAGOREAN ARRAY |
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| Liang Gangxian.ON THE SOLUTION OF PYTHAGOREAN ARRAY[J].Journal of Qufu Normal University(Natural Science),1992,18(3):69-71. |
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| Authors: | Liang Gangxian |
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| Institution: | Liang Gangxian Department of Mathematics,Yantai Television University,264001,Yantai,Shandong,PRC |
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| Abstract: | To the positive integer x,when x>2,the following results aregiven:a formula of solving the positive integer solution(y,z)sastifying equa-tion x~2+y~2=z~2;the individual number of the positive integer solution.(y,z)determined by x and the sufficient and necessary conditions of the positiveinteger solution in(x,y,z)=1. |
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| Keywords: | pair of complementary submultiples Pythagorean integer Pythagorean array |
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