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| 关于斐波那契数列倒数的无限和 | |
| 引用本文： | 张国杰. 关于斐波那契数列倒数的无限和[J]. 数学研究及应用, 2011, 31(6): 1030-1034 |
| 作者姓名： | 张国杰 |
| 作者单位： | 西北大学基础数学系, 陕西 西安 710118 |
| 基金项目： | 国家自然科学基金(Grant No.11071194). |
| 摘 要： | In this paper,we consider infinite sums of the reciprocals of the Fibonacci numbers.Then applying the floor function to the reciprocals of this sums,we obtain a new identity involving the Fibonacci numbers. |
| 关 键 词： | Fibonacci数 倒数 数论 数学研究 |
| 收稿时间： | 2010-10-13 |
| 修稿时间： | 2011-01-12 |
The Infinite Sum of Reciprocal of the Fibonacci Numbers |
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| Guo Jie ZHANG. The Infinite Sum of Reciprocal of the Fibonacci Numbers[J]. Journal of Mathematical Research with Applications, 2011, 31(6): 1030-1034 | |
| Authors: | Guo Jie ZHANG |
| Affiliation: | Department of Mathematics, Northwest University, Shaanxi 710127, P. R. China |
| Abstract: | In this paper, we consider infinite sums of the reciprocals of the Fibonacci numbers. Then applying the floor function to the reciprocals of this sums, we obtain a new identity involving the Fibonacci numbers. |
| Keywords: | Fibonacci numbers reciprocals infinite sum elementary method identity. |
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