| 联立Pell方程组的解数 |
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| 引用本文： | 乐茂华. 联立Pell方程组的解数[J]. 吉首大学学报(自然科学版), 2003, 24(2): 1-9 |
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| 作者姓名： | 乐茂华 |
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| 作者单位： | 湛江师范学院数学系,广东,湛江,524048;上海师范大学数学系,上海,200234 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(10 2 7110 4 )，theGuangdongProvincialNaturalScienceFoundation (0 11781)andtheNaturalScienceFoundationoftheEducationDepartmentofGuangdongProvince(0 16 1) |
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| 摘 要： | 设ａ，ｂ是不同的正整数.证明了：当ｍａｘ（ａ，ｂ）＞１０１１８时，联立ｐｅｌｌ方程组ｘ２－ａｙ２＝１和ｚ２－ｂｙ２＝１至多有2组正整数解(ｘ，ｙ，ｚ).
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| 关 键 词： | 联立方程组 解数 Gel’fond-Baker方法 |
The Number of Solutions of Simultaneous Pell Equations |
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| Abstract. The Number of Solutions of Simultaneous Pell Equations[J]. Journal of Jishou University(Natural Science Edition), 2003, 24(2): 1-9 |
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| Authors: | Abstract |
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| Affiliation: | (Department of Mathematics,Zhanjiang Normal College，Zhanjiang,Guangdong，China) |
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| Abstract: | Let a,b be distinct positive integers.If max (a,b)＞ 10118,then the simultaneous Pell equations x2-ay2=1 and z2-by2=1 have at most two positive integer solutions (x,y,z). |
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| Keywords: | Simultaneous Pell equations number of solutions Gel'fond-Baker method |
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