| 关于丢番图方程χ3+1=py2 |
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| 引用本文： | 李亚卓.关于丢番图方程χ3+1=py2[J].高师理科学刊,2011(1):20-21. |
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| 作者姓名： | 李亚卓 |
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| 作者单位： | 陕西教育学院期刊编辑部 |
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| 摘 要： | 用初等方法证明了当p是奇素数且p=27s2+1,2|s时,则方程χ3+1=py2无正整数解.
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| 关 键 词： | 丢番图方程 正整数解 可解性 |
On the Diophantine equation x~3+1=py~2 |
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| LI Ya-zhuo.On the Diophantine equation x~3+1=py~2[J].Journal of Science of Teachers＇College and University,2011(1):20-21. |
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| Authors: | LI Ya-zhuo |
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| Institution: | LI Ya-zhuo(Department of Journal Publishing,Shaanxi Institute of Education,Xi’an 710061,China) |
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| Abstract: | Let p be an odd prime,used the primary method to prove that if p=27s2＋1,where s is an even integer,then the Diophantine equation x3＋1=py2 has no positive integer solution（x,y）. |
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| Keywords: | Diophantine equation positive integer solution solvability |
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