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

页码：667 / 672

页数：6

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