| 关于2个不定方程的求解 |
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| 引用本文： | 李亚卓.关于2个不定方程的求解[J].高师理科学刊,2009,29(1). |
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| 作者姓名： | 李亚卓 |
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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： | 利用同余理论和代数数论的有关结论,证明了不定方程x2+1=y5仅有整数解(0,1)以及不定方程x 2+64=y3无整数解.
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| 关 键 词： | 不定方程 整数解 代数数论 整环 |
On the solutions of two Diophantine equation |
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| LI Ya-zhuo.On the solutions of two Diophantine equation[J].Journal of Science of Teachers＇College and University,2009,29(1). |
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| Authors: | LI Ya-zhuo |
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| Institution: | Department of Mathematics;Northwest University;Xi'an 710127;China |
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| Abstract: | By using congruence theory and algebraic number theory,proved that the Diophantine equation x 2 + 1 =y5 has only integer solution(x,y)=(0,1)and the Diophantine equation x 2 + 64 =y3 has no integer solution. |
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| Keywords: | Diophantine equation integer solution algebraic number theory integral domain |
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