Exact Divisibility by Powers of the Fibonacci and Lucas Numbers

被引：0
|
作者：
Pongsriiam, Prapanpong [1 ]
机构：
[1] Silpakorn Univ, Fac Sci, Dept Math, Ratchamankanai Rd, Nakhon Pathom 73000, Thailand
来源：
JOURNAL OF INTEGER SEQUENCES | 2014年 / 17卷 / 11期
关键词：
Fibonacci number; Lucas number; exactdivisibility;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give new results on exact divisibility by powers of the Fibonacci and Lucas numbers.For example, we prove that if F-n(k) exactly divides m and n is not congruent to 3 modulo 6, then F-n(k+1) exactly divides F-nm.We also provide some examples and open questions.
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页数：12
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