数学学报    2012 55 (3): 517-524   ISSN: 0583-1431  CN: 11-2039/O1   Fibonacci 数列倒数的无穷和 王婷婷 西北大学数学系 西安 710127 收稿日期 2011-06-21  修回日期 2011-10-14  网络版发布日期 2012-05-15 参考文献  [1] Duncan R. L., Applications of uniform distribution to the fibonacci numbers, The Fibonacci Quarterly, 1967,5(2): 137-140. [2] Wiemann M., Cooper C., Divisibility of an F-L Type Convolution, Applications of Fibonacci Numbers, Vol.9, Kluwer Acad. Publ., Dordrecht, 2004: 267-287. [3] Prodinger H., On a sum of Melham and its variants, The Fibonacci Quarterly, 2008/2009, 46/47: 207-215. [4] Ma R., Zhang W. P., Several identities involving the Fibonacci numbers and Lucas numbers, The FibonacciQuarterly, 2007, 45: 164-170. [5] Ohtsuka H., Nakamura S., On the sum of reciprocal Fibonacci numbers, The Fibonacci Quarterly, 2008/2009,46/47: 153-159. 通讯作者: