Asymptotic formulas for generalized gcd-sum and lcm-sum functions over r-regular integers (mod n<sup>r</sup>)

In this paper we perform a further investigation for r-gcd-sum function over r-regular integers (mod n<sup>r</sup>), and we derive two kinds of asymptotic formulas by making use of Dirichlet product, Euler product and some techniques. Moreover, we also establish estimates for the general...

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Bibliographic Details
Main Authors: Zhengjin Bu, Zhefeng Xu
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021760?viewType=HTML