| Pell方程x^2-（a^2-1）y^2=k的解集 |
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| 引用本文： | 赵丕卿,赵刚堂.Pell方程x^2-（a^2-1）y^2=k的解集[J].沈阳大学学报,2009,21(5):107-110. |
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| 作者姓名： | 赵丕卿 赵刚堂 |
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| 作者单位： | 青岛科技大学数理学院,山东,青岛,266061 |
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| 摘 要： | 应用本原解、解数列等概念,完整、清晰地表述了形如x^2-（a^2-1）y^2=k（k∈Z,k≠0,a≥2）型Pell方程的整数解集.
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| 关 键 词： | Pell方程 递归数列 本原解 解数列 解集 |
Solution Set of Pell Equation x2-(a2-1)y2=k |
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| ZHAO Piqing,ZHAO Gangtang.Solution Set of Pell Equation x2-(a2-1)y2=k[J].Journal of Shenyang University,2009,21(5):107-110. |
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| Authors: | ZHAO Piqing ZHAO Gangtang |
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| Institution: | (School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China) |
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| Abstract: | Using concepts of primitive solution,solution s sequence,etc.,the set of integer solution of Pell Equation x^2-（a^2-1）y^2=k（k∈Z,k≠0,a≥2） is given completely and distinctly. |
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| Keywords: | Pell Equation recursive sequence primitive solution solution s sequence solution set |
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