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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-09-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021760?viewType=HTML |
| Summary: | 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 generalized r-lcm-sum function over r-regular integers (mod n). |
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| ISSN: | 2473-6988 |