| 关于2个丢番图方程的求解 |
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| 引用本文： | 李亚卓.关于2个丢番图方程的求解[J].高师理科学刊,2011,31(6):23-25. |
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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,陕西西安,710061 |
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| 摘 要： | 用代数数论方法证明了丢番图方程x2 - 13=4y3仅有整数解(x,y)=(±3,-1)以及丢番图方程x2 +2=y3仅有整数解(x,y)=(±5,3).
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| 关 键 词： | 不定方程 整数解 Euclid域 |
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,2011,31(6):23-25. |
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| Authors: | LI Ya-zhuo |
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| Affiliation: | LI Ya-zhuo(Department of Journal Publishing,Shaanxi Institute of Education,Xi′an 710061,China) |
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| Abstract: | Discussed two Diophantine equations with the algebraic number theory. The Diophantine equations x^2 -13 = 4y^3 has integer solutions （x, y）= （±3,- 1）and the Diophantine equations x^2 ＋2 = y^3 has integer solutions （x, y） = （±5, 3）. |
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| Keywords: | Diophantine equation integer solution Euclid area |
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