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Article: On the F.Smarandache function and its mean value.
- Article from:
- Scientia Magna
- Article date:
- June 1, 2007
- Author:
CopyrightCOPYRIGHT 2007 American Research Press. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smallest positive integer m such that n | m!. That is, S(n) = min{m : n | m!, n [member of] N}. The main purpose of this paper is using the elementary methods to study a mean value problem involving the F.Smarandache function, and give a sharper asymptotic formula for it.
Keywords F.Smarandache function, mean value, asymptotic formula.
[section] 1. Introduction and result
For any positive integer n, the famous F.Smarandache function S(n) is defined as the smallest positive integer m such that n | m!. That is, S(n) = min{m : n | m!, n 2 N}. For example, ...