Asymptotic formulas for generalized gcd-sum and lcm-sum functions over \(r\)-regular integers (mod \(n^r\))

DOI10.3934/math.2021760OpenAlexW3199884852MaRDI QIDQ2142885

Zhengjin Bu, Zhefeng Xu

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021760

zbMATH Keywords

asymptotic formula\(r\)-gcd-sum function\(r\)-lcm-sum functionregular integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

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• Some totient functions
• The unitary analogue of Pillai's arithmetical function
• On a gcd-sum function
• Regular integers modulo n
• On certain sums concerning the gcd’s and lcm’s of k positive integers
• Sum functions of k-ary and semi-k-ary divisors
• A Generalization of Euler's φ-Function

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