On the Sum of Unitary Divisors Maximum Function

It is well-known that a positive integer $d$ is called a unitary divisor of an integer $n$ if $d|n$ and gcd$\left(d,\frac{n}{d}\right)=1$. Divisor function $\sigma^{*}(n)$ denote the sum of all such unitary divisors of $n$. In this paper we consider the maximum function $U^{*}(n)...

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Bibliographic Details
Main Authors: Bhabesh Das, Helen K. Saikia
Format: Article
Language:English
Published: AIMS Press 2017-02-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/10.3934/Math.2017.1.96/fulltext.html