关于不定方程x3-6x-3=3y2 |
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引用本文: | 张慧,王振,李小燕. 关于不定方程x3-6x-3=3y2[J]. 渝州大学学报(自然科学版), 2010, 0(1): 42-45 |
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作者姓名: | 张慧 王振 李小燕 |
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作者单位: | 安徽大学数学与计算科学学院,合肥230019 |
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摘 要: | 利用代数数论的方法,在三次域中证明了不定方程x3-6x-3=3y2。无整数解.
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关 键 词: | 不定方程 整数解 代数数论 三次域 |
On diophantine equation x3 - 6x - 3 = 3y2 |
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Affiliation: | ZHANG Hui, WANG Zhen, LI (School of Mathematics and Computer, Anhui University Xiao-yan , Hefei 230019,China) |
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Abstract: | In this paper , the author uses the method of algebraic number theory to have proved that diophantine equations x3 - 6x - 3 = 3y2 don' t have integer solution in the cubic field |
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Keywords: | diophantine equations integer solution algebraic number theory cubic field |
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