On the weighted average number of subgroups of ℤm × ℤn with mn ≤ x

DOI10.1142/S1793042122501020WikidataQ114071796 ScholiaQ114071796MaRDI QIDQ5094201

Isao Kiuchi, Sumaia Saad Eddin

Publication date: 2 August 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07850

zbMATH Keywords

Dirichlet seriesdivisor functionnumber of cyclic subgroupsnumber of subgroups

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (1)

Hyperbolic summation for functions of the GCD and LCM of several integers

Cites Work

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• On the error term concerning the number of subgroups of the groups \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(mn \leq x\)
• Representing and counting the subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\)
• On the error term concerning the number of subgroups of the groups $\mathbb {Z}_m \times \mathbb {Z}_n$ with $m,n\le x$
• The mean square of the divisor function
• ON THE AVERAGE NUMBER OF SUBGROUPS OF THE GROUP ℤ_m × ℤ_n

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