| 某些级数的无理性 |
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| 引用本文： | 朱尧辰.某些级数的无理性[J].数学学报,1997,40(6):857-860. |
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| 作者姓名： | 朱尧辰 |
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| 作者单位： | 中国科学院应用数学研究所 |
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| 摘 要： | 本文证明了某些与二阶线性递推数列有关的无穷级数的和的无理性．特别，推广了某些与Ｆｉｂｏｎａｃｃｉ和Ｌｕｃａｓ数列有关的无理性结果
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| 关 键 词： | 无理性，级数，线性递推序列 |
| 收稿时间： | 1997-1-14 |
Irrationality of Certain Series |
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| Institution: | Zhu Yaochen (Institute of Applied Mathematics,Academia Sinica, Beijing 100080, China)) |
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| Abstract: | In this paper the irrationality of certain series concerning with the second order linear recurrences is proved. In particular, it is generalized that certain irrationality results relatedto Fibonacci and Lucas sequences. |
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| Keywords: | Irrationality Series Linear recurrences |
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