Mean-Value  Estimate for Two Smarandache Hybrid Functions

doi:10.3969/j.cnki.jdxb.2016.03.001

Abstract

Abstract:

Let n be a positive integer,ur(n) be the smallest r angular number greater than or equal to n，and vr(n) be the largest r angular number less than or equal to n.Let:a(n)=n－ur(n),b(n)=vr(n)－n.The hybrid mean value formulas involving two Smarandache functions S(n) and SL(n) with a(n) and b(n) are studied,and several sharper asymptotic formulas are given by using the analytic methods.

Key words: Smarandache function, r-ngular number, mean value, asymptotic formula

HUANG Wei. Mean-Value Estimate for Two Smarandache Hybrid Functions[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2016.03.001.

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Mean-Value Estimate for Two Smarandache Hybrid Functions

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