Arithmetic Properties of a Curious Arithmetic Function

被引：0
|
作者：
Wang, Tingting [1 ]
Tan, Qianrong [2 ]
Hong, Shaofang [1 ]
机构：
[1] Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
[2] Panzhihua Univ, Sch Comp Sci & Technol, Panzhihua 617000, Peoples R China
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES | 2012年
基金：
美国国家科学基金会;
关键词：
arithmetic function; least common multiple; 3-adic valuation; LEAST COMMON MULTIPLE; INTEGERS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the arithmetic function f(3) : N* -> Q(+) defined by f(3)(3(k)l) = l(1-k) for any integers k >= 0 and l >= 1 with 3 Xl. We show several important arithmetic properties about this function and then use them to establish some curious results concerning the 3-adic valuation.
引用
收藏
页码：667 / 672
页数：6
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