引用本文: | 倪谷炎.关于不定方程x3=Dy2+1[J].国防科技大学学报,1999,21(5):109-111.[点击复制] |
Ni Guyan.On The Diophantine Equation x3=Dy2+1[J].Journal of National University of Defense Technology,1999,21(5):109-111[点击复制] |
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关于不定方程x3=Dy2+1 |
倪谷炎 |
(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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摘要: |
本文对方程x3=Dy2+1中一般情形的D进行了讨论, 对03=Dy2+1, 仅当D=7, 26, 31, 38, 61时, 有非平凡解, 而对于D=7, 26, 31, 38 和61时, 我们给出其部分解。 |
关键词: 不定方程, 整数解 |
DOI: |
投稿日期:1999-04-02 |
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On The Diophantine Equation x3=Dy2+1 |
Ni Guyan |
(Department of Systems Engineering and Mathematics, NUDT, Changsha, 410073)
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Abstract: |
In this paper, we study the equation of the title with D general. The equation has nontrivial integer solutions, only when D=7, 26, 31, 38 or 61, for 0
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Keywords: Diophantine equation, integer solution |
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