| 关于Diophantine方程x~3+11~3=Dy~2 |
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| 引用本文： | 崔保军.关于Diophantine方程x~3+11~3=Dy~2[J].高师理科学刊,2008,28(5). |
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| 作者姓名： | 崔保军 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127 |
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| 摘 要： | 设D是无平方因子且不能被3或6l+1之型素数整除的正整数,用初等方法讨论了Diophantine方程x 3+113=Dy2整数解的情况,并且给出x<104时方程x3+113=Dy2的所有整数解.
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| 关 键 词： | Diophantine方程 非平凡整数解 递归序列 |
On the Diophantine equation x~3+11~3=Dy~2 |
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| CUI Bao-jun.On the Diophantine equation x~3+11~3=Dy~2[J].Journal of Science of Teachers＇College and University,2008,28(5). |
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| Authors: | CUI Bao-jun |
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| Institution: | CUI Bao-jun(Department of Mathematics,Northwest University,Xi\'an 710127,China) |
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| Abstract: | Let D be a positive integer with square free and can not be divided by 3 or primes of the form 6l +1,researched the solution of x3+113 =Dy2,given all the integer solution of the equation x3 +113=Dy2with D>0 and x<104. |
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| Keywords: | Diophantine equation nontrivial integer solution recurrence sequence |
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