| 关于阿基米德牛群问题及与之有关的Pell方程 |
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| 引用本文： | 王念良,杨全,王辉.关于阿基米德牛群问题及与之有关的Pell方程[J].商洛学院学报,2011,25(4):3-5. |
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| 作者姓名： | 王念良 杨全 王辉 |
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| 作者单位： | 商洛学院数学与计算科学系,陕西商洛,726000 |
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| 基金项目： | 陕西省教育厅科研计划项目(2010JK527、2010JK529); 商洛学院教育教学改革研究项目(10JYJX02016);商洛学院科研基金项目(09SKY039) |
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| 摘 要： | 公元前251年阿基米德提出的太阳神牛群问题,至今仍是数学研究的一个热点问题,关于该问题的研究促进了初等数论和代数数论的发展,得到了许多有意义的结果。鉴于此,在Ather和Lenstra有关研究的基础上,利用初等方法给出了一个比较简洁的解答。
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| 关 键 词： | 阿基米德牛群问题 Pell方程 初等方法 |
On Archimedes Cattle Problem and Associated Pell Equation |
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| WANG Nian-liang,YANG Quan,WANG Hui.On Archimedes Cattle Problem and Associated Pell Equation[J].Journal of Shangluo University,2011,25(4):3-5. |
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| Authors: | WANG Nian-liang YANG Quan WANG Hui |
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| Institution: | WANG Nian-liang,YANG Quan,WANG Hui(Department of Mathematics and Computing Science,Shangluo University,Shangluo,Shaanxi 726000) |
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| Abstract: | In 251 BC,Archimedes raised a cattle problem of the God of the Sun,which is still a hot issue in mathematical research.The research work on the issue has developed elementary number theory and algebraic number theory,and there are a lot of meaningful results on the issue.In this paper,based on the results of Ather and Lenstra,by the elementary methods,a more concise answer on the anantiquity issue is obtained. |
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| Keywords: | Archimedes cattle problem Pell equation elementary method |
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