On the Lucas property of linear recurrent sequences

被引：1

作者：

Zhong, Hao ^{[1
]}

Cai, Tianxin ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Lucas property; Fibonacci sequences; Lucas numbers; linear recurrent sequences;

D O I：

10.1142/S1793042117500920

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S be an arithmetic function. S has Lucas property if for any prime p and n = Sigma(r)(i-0) n(i)p(i), where 0 <= n(i) <= p - 1, S(n) = S(n(0)) S(n(1))...S(n(r)) (mod p). In this paper, we discuss the Lucas property of Fibonacci sequences and Lucas numbers. Meanwhile, we find some other interesting results.

引用

页码：1617 / 1625

页数：9