| 关于不定方程x3-8=3py2 |
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| 引用本文： | 余启港,王顺金,于新月,张梅娜.关于不定方程x3-8=3py2[J].中南民族大学学报(自然科学版),2011,30(3):103-104,110. |
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| 作者姓名： | 余启港 王顺金 于新月 张梅娜 |
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| 作者单位： | 中南民族大学数学与统计学学院,武汉,430074 |
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| 摘 要： | 利用递归数列与Pell方程解的相关性质和结论,证明了不定方程x3-8=3py2(其中p=5,13,29,37,53,61)当x为奇数时无整数解.
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| 关 键 词： | 不定方程 整数解 递归数列 |
On the Diophantine Equation x~3-8=3py~2 |
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| Yu Qigang,Wang Shunjin,Yu Xinyue,Zhang Meina.On the Diophantine Equation x~3-8=3py~2[J].Journal of South-Central Univ for,2011,30(3):103-104,110. |
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| Authors: | Yu Qigang Wang Shunjin Yu Xinyue Zhang Meina |
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| Affiliation: | Yu Qigang,Wang Shunjin,Yu Xinyue,Zhang Meina(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China) |
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| Abstract: | In this paper,we prove that the diophantine equation x3-8=3py2(for p=5,13,29,37,53,61)has not integer solution when x is an odd number,with the help of the congruence method and the properties of recurrent sequences and Pell equation. |
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| Keywords: | diophantine equation integer solution recurrent sequence |
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