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(F_n,F_m)的一般结果
引用本文:覃永安. (F_n,F_m)的一般结果[J]. 广西师范学院学报(自然科学版), 1996, 0(Z1)
作者姓名:覃永安
作者单位:广西宜州石别中学
摘    要:关于求(Fn,Fm)的问题,陈景润求得了(Fn,F(n+1)),吴佃华求得了(Fn,F(n+2)),不久又求得了(Fn,F(n+k)),k=3,4,5,6.这里用数论方法,导出(Fn,Fm)的一般结果。

关 键 词:Fibonacci序列;最大公因数;半群

The General Result of (F_n, F_m)
Qin Yongan. The General Result of (F_n, F_m)[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 1996, 0(Z1)
Authors:Qin Yongan
Abstract:About the problem of calculation (Fn, Fm), Chen Jingrun gave the result of (Fn,Fn+1). Wu Dinanhua Gave (Fn, Fn+2), and soon (Fx, Fn+k), k=3, 4, 5, 6. In this paper,by using the number theoretic method, the general result of (Fn, Fm) is given. the problem is fully solved, and some further ficance of the result is discussed simply.
Keywords:fibonacci sequence  greatest common factor  semigroup
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