On the additive k-th power part residue function

被引：0

作者：

Zhang Shengsheng ^{[1
]}

机构：

[1] Shaanxi Tech Coll Finance & Econ, Xianyang, Shaanxi, Peoples R China

来源：

Research on Smarandache Problems in Number Theory (Vol II), Proceedings | 2005年

关键词：

additive k-th power part residue function; mean value; asymptotic formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Similar to the Smarandache k-th power complements, we define the additive k-th power part residue f(k)(n) of n is the smallest nonnegative integer such that n - f(k)(n) is a perfect k-th power. The main purpose of this paper is using the elementary methods to study the mean value properties of f(k)(n) and d(f(k)(n)), and give two interesting asymptotic formulae for them.

引用

页码：119 / 122

页数：4