| 关于不定方程x^3±53=3Dy^2 |
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| 引用本文： | 普粉丽,杜先存.关于不定方程x^3±53=3Dy^2[J].海南大学学报(自然科学版),2013(4):292-294. |
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| 作者姓名： | 普粉丽 杜先存 |
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| 作者单位： | [1]普洱学院数学与统计学院,云南普洱665000 [2]红河学院教师教育学院,云南蒙自661199 |
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| 基金项目： | 云南省教育厅科研基金资助项目（2012C199） |
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| 摘 要： | 运用同余式、平方剩余和勒让德符号的性质等得出了不定方程x^3±53=3Dy^2无正整数解的2个充分条件，从而推进了该类不定方程的研究．
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| 关 键 词： | 不定方程 奇素数 同余 平方剩余 正整数解 |
Indefinite Equation x^3±53=3Dy^2 |
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| PU Fen-li,DU Xian-cun.Indefinite Equation x^3±53=3Dy^2[J].Natural Science Journal of Hainan University,2013(4):292-294. |
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| Authors: | PU Fen-li DU Xian-cun |
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| Institution: | 2 ( 1. College of Mathematics and Statistics, Puer University, Puer 665000, China; 2. Teachers＇ Educational College, Honghe University, Mengzi 661199, China) |
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| Abstract: | Congruence, quadratic residue and some properties of Legendre were used to obtain two sufficient conditions of the indefinite equation x^3±53=3Dy^2 which have no integer solutions, which promote the research of this kind of indefinite equation. |
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| Keywords: | indefinite equation odd prime congruence quadratic residue positive integer solution |
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