On the Smarandache reciprocal function and its mean value

摘要：

For any positive integer n, the Smarandache reciprocal function Sc(n) is defined as the largest positive integer m such that y|n! for all integers 1≤y≤m, and m + 1+n!.The main purpose of this paper is using the elementary and analytic methods to study the mean value distribution properties of Sc(n), and give two interesting mean value formulas for it.

关键词： The Smarandache reciprocal function mean value asymptotic formula.

作者: Liping Ding

作者单位: Department of Mathematics, Xian University of Architecture and Technology Xian, 710055, Shaanxi, China

会议类型: 国际会议

会议名称: The Fourth International Conference on Number Theory and Smarandache Problems(第四届国际数论与Smarandache问题学术会议)

会议地点: 西安

会议语种:英文

页码: 120-123

在线出版日期: 2008-03-21（万方平台首次上网日期，不代表论文的发表时间）