Scientia Magna, January 1st, 2005
Abstract The main purpose of this paper is using elementary method to study a new arithmetic function, and give an interesting asymptotic formula for it.
Keywords: Arithmetic function; Mean value; Asymptotic formula
[section] 1. Introduction
For any positive integer n, we have n = [u.sup.k]v, where v is a k-power free number. Let [b.sub.k](n) be the k-power free part of n. Let p be any fixed prime, n be any positive integer, [e.sub.p](n) denotes the largest exponent of power p. That is, [e.sub.p](n) = m, if [p.sup.m]/n and [p.sup.m+1] [dagger] n. In [1], Professor F.Smarandache asked us t...
HighBeam Research, Free Preview: 'Mean value of a new arithmetic function.'... Full Membership required for unlimited access. Free 7-day trial.
Subscribers: HighBeam content is only available to HighBeam subscribers. Click the link above for more information.
