| 关于丢番图方程sum from i=1 to r a_ix_i=n的非负解的研究 |
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| 引用本文： | 梁放驰, 井爱雯,. 关于丢番图方程sum from i=1 to r a_ix_i=n的非负解的研究[J]. 空军工程大学学报(自然科学版), 2000, 0(3): 27-30 |
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| 作者姓名： | 梁放驰 井爱雯 |
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| 作者单位： | 空军工程大学导弹学院!陕西三原713800 |
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| 摘 要： | 运用初等方法给出了若 qi=( a1,… ,ai-1,ai 1,… ,ar) ( i=1 ,2 ,… ,r)中至少有一个大于 1 ,则当 n=∑ri=1aiqi- ∏ri=1qi- ∑ri=1ai 时 ,丢番图方程∑ri=1aixi=n无非负解。
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| 关 键 词： | 丢番图方程 非负解 互素 |
On the Nonnegative Solution of Diophantus Equation sum from i=1 to r a_ix_i=n |
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| LIANG Fang-chi,JING Ai-wen. On the Nonnegative Solution of Diophantus Equation sum from i=1 to r a_ix_i=n[J]. Journal of Air Force Engineering University(Natural Science Edition), 2000, 0(3): 27-30 |
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| Authors: | LIANG Fang-chi JING Ai-wen |
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| Affiliation: | The Missile Institute, AFEU. , Sanyuan 713800, China |
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| Abstract: | The existence problem of nonnegative so ution of Di phantus equation sum from i=1 to r a_ix_i=n is discussed by using the elementa rymethod, and a kind of non-exi stence condition for thenonnegative solution of it is given in this paper. |
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| Keywords: | diophantus equation nonnegative solution relatively prime |
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