关于丢番图方程x~3±64=Py~2的整数解的研究 |
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引用本文: | 钱立凯,;普粉丽.关于丢番图方程x~3±64=Py~2的整数解的研究[J].淮阴师范学院学报(自然科学版),2014(1):20-22. |
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作者姓名: | 钱立凯 ;普粉丽 |
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作者单位: | [1]曲靖师范学院教师教育学院,云南曲靖655011; [2]普洱学院数学与统计学院,云南普洱665000 |
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摘 要: | 利用初等方法得出了:P≡5,17(mod 24)为奇素数时,丢番图方程x3±64=Py2无x0(mod 2)的正整数解.
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关 键 词: | 丢番图方程 奇素数 正整数解 同余式 乐让德符号 |
On Study of the Diophantine Equation x3 ±64=Py2 |
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Institution: | QIAN Li-kai, PU Fen-li ( 1. School of Teacher Education, Qujing Normal University, Qujing Yunnan 655011, China ; 2. College of Mathematics and statistics, Puer University, Puer Yunnan 665000, China) |
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Abstract: | Let P be an odd prime.In this paper,we prove that the indefinite equation x3 ±64=Py2 have no positive integer solutions, where D≡1,19(mod 24). |
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Keywords: | diophantine equation odd prime positive integer solution congruence legendre symbol |
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