On the error term concerning the number of subgroups of the groups Zm×Zn with mn ≤ x-Reference-Cited by-同舟云学术

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On the error term concerning the number of subgroups of the groups Zm×Zn with mn ≤ x

Published:2020-11 Issue: Volume:216 Page:264-279
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Sui Yankun,Liu Dan

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference10 articles.

1. Zeta function of subgroups of abelian groups and average orders;Bhowmik;J. Reine Angew. Math.,2001

2. The Riemann Zeta-Function. Theory and Applications;Ivić,1985

3. Basic Analytic Number Theory;Karatsuba,1993

4. On the average number of subgroups of the group Zm×Zn;Nowak;Int. J. Number Theory,2014

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the extensions of Goursat’s theorem to direct products of n R-algebras;AIP Conference Proceedings;2024

2. Counting Subgroups of the Groups $${\mathbb {Z}}_{n_1} \times \cdots \times {\mathbb {Z}}_{n_k}$$: A Survey;Trends in Mathematics;2023-12-28

3. Hyperbolic summation for functions of the GCD and LCM of several integers;The Ramanujan Journal;2022-12-28

4. On the weighted average number of subgroups of ℤm × ℤn with mn ≤ x;International Journal of Number Theory;2022-04-28

5. Error term concerning number of subgroups of group $${\mathbb{Z}_m} \times {\mathbb{Z}_n}$$ with m2 + n2 ⩽ x;Frontiers of Mathematics in China;2021-09-09

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