| 关于Lucas数列同余性质的研究 |
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| 引用本文： | 马荣,张玉龙.关于Lucas数列同余性质的研究[J].纯粹数学与应用数学,2012(2):269-274. |
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| 作者姓名： | 马荣 张玉龙 |
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| 作者单位： | 1. 西北工业大学理学院,陕西西安710072
2. 西安交通大学电信学院,陕西西安710049 |
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| 基金项目： | 国家自然科学基金(11071194);西北工业大学基础研究基金(JC201123) |
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| 摘 要： | 将二项式系数的性质应用到Lucas数列的研究中,并结合Fibonacci数列与Lucas数列的恒等式得到几个有趣的Lucas数列的同余式.
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| 关 键 词： | Fibonacci数列 Lucas数列 恒等式 同余式 |
On the congruence properties of the Lucas numbers |
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| Ma Rong,Zhang Yulong.On the congruence properties of the Lucas numbers[J].Pure and Applied Mathematics,2012(2):269-274. |
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| Authors: | Ma Rong Zhang Yulong |
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| Institution: | 1.School of Science,Northwestern Polytechnical University,Xi an 710072,China;2.The School of Electronic and Information Engineering,Xi an Jiaotong University,Xi an 710049,China) |
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| Abstract: | In this paper,we have used the properties of the binomial coefficient to study the Lucas sequences,after combining the binomial coefficient with the identities involving Fibonacci sequences and Lucas sequences,we have got several interesting congruence identities involving the Lucas sequences. |
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| Keywords: | Fibonacci numbers Lucas numbers identities congruence formula |
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