On the Hybrid Mean Value of the Smarandache Double-Factorial Function

doi:10.3969/j.cnki.jdxb.2017.03.002

Journal of Jishou University（Natural Sciences Edition)

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On the Hybrid Mean Value of the Smarandache Double-Factorial Function

LU Weiyang,GAO Li

(1.Yan'an Senior High School,Yan'an 716000,Shaanxi China;2.College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,Shaanxi China)

Online:2017-05-25 Published:2017-06-19

Abstract

Abstract:

The elementary method and analytic method were performed to study the mean value problem of hybrid function (Sdf(n)-P(n))^β and δ_α(n)(Sdf(n)-P(n))^β involving the Smarandache double-factorial function Sdf(n) and the largest prime factor divisor function P(n),where δ_α(n) denotes the divisor function.Two sharper asymptotic formulas were proposed.

Key words: Smarandache double-factorial function, divisor function, hybrid mean value, asymptotic formula

LU Weiyang,GAO Li. On the Hybrid Mean Value of the Smarandache Double-Factorial Function[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2017.03.002.

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On the Hybrid Mean Value of the Smarandache Double-Factorial Function

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