| 关于不定方程xn+yn=yn-2z2 |
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| 引用本文： | 管训贵.关于不定方程xn+yn=yn-2z2[J].安庆师范学院学报(自然科学版),2009,15(1):99-100. |
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| 作者姓名： | 管训贵 |
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| 作者单位： | 泰州师范高等专科学校,数学系,江苏,泰州,225300 |
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| 摘 要： | 运用初等数论的方法,讨论了不定方程x^n＋y^n=y^（n-2）z^2的解法,彻底解决了有关文献中提出的猜想：n≥3时,p^n＋q^n=q^n-2r^2无正整数解。
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| 关 键 词： | 不定方程 正整数解 奇素数 猜想 |
On the Indeterminate Equation x~n+y~n=y~(n-2)z~2 |
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| GUAN Xun-gui.On the Indeterminate Equation x~n+y~n=y~(n-2)z~2[J].Journal of Anqing Teachers College(Natural Science Edition),2009,15(1):99-100. |
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| Authors: | GUAN Xun-gui |
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| Institution: | Department of Mathematics of Taizhou Normal College;Taizhou 225300;China |
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| Abstract: | In this paper,solving process of the indeterminate equation xn+yn=yn-2z2 is optimizated by fundmental methods of number theory,so that it entirely resolves the conjecture which is raised in paper 1]. |
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| Keywords: | indeterminate equation positive integral solutions odd prime conjecture |
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