Mean Value of r-gcd-sum and r-lcm-Sum Functions
Mean Value of r-gcd-sum and r-lcm-Sum Functions
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DOI：
10.3390/sym14102080
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Zhefeng Xu
中科院分区：
文献类型：
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作者：
Zhengjin Bu;Zhefeng Xu
In this paper we perform a further investigation for r-gcd-sum and r-lcm-sum functions. By making use of the properties of generalization of Euler’s φ-function, Abel’s identity and elementary arguments, we derive asymptotic formulas for the average of the r-gcd-sum function, r-lcm-sum function and their generalizations. Moreover, we also study the sums of reciprocals of r-gcd and r-lcm.
