| 关于Pell方程Ax~2-(A±1)y~2=1(A∈Z~+,A≥2) |
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| 引用本文： | 杜先存.关于Pell方程Ax~2-(A±1)y~2=1(A∈Z~+,A≥2)[J].保山学院学报,2012(2):57-59. |
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| 作者姓名： | 杜先存 |
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| 作者单位： | 红河学院教师教育学院 |
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| 摘 要： | 应用连分数的相关知识得出了形如Ax2-(A-1)y2=1(A∈Z+,A≥2)型Pell方程解的一个结果,清晰地表述了形如Ax2-(A-1)y2=1(A∈Z+,A≥2)型Pell方程的整数解的解集,同时得出形如Ax2-(A+1)y2=1(A∈Z+,A≥2)型Pell方程的解的情况。
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| 关 键 词： | Pell方程 正整数解 整数解 连分数 |
On Pell Equation Ax~2-(A±1)y~2=1 |
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| DU Xian-cun.On Pell Equation Ax~2-(A±1)y~2=1[J].Journal of Baoshan Teachers College,2012(2):57-59. |
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| Authors: | DU Xian-cun |
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| Institution: | DU Xian-cun(Teachers’Educational College of Honghe University,Mengzi 661100,China) |
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| Abstract: | By applying related knowledge of continued fraction,it works out a result of solution with the set of Pell Equation Ax2-(A-1)y2=1(A∈Z+,A≥2),positive integer solutions of Pell Equation Ax2-(A-1)y2=1(A∈Z+,A≥2) is given completely and distinctly,and it works out a result of solution with the set of Pell Equation Ax2-(A+1)y2=1(A∈Z+,A≥2). |
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| Keywords: | Pell Equation Positive Integer Solution Integer Solution Continued Fraction |
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