Zeta function of subgroups of abelian groups and average orders
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Publication:4526955
DOI10.1515/CRLL.2001.004zbMath0964.11042OpenAlexW2067308414MaRDI QIDQ4526955
Publication date: 5 February 2001
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crll.2001.004
Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) Finite abelian groups (20K01) Subgroups of abelian groups (20K27)
Related Items (5)
Counting subgroups of fixed order in finite abelian groups ⋮ Multiple zeta functions and asymptotic structure of free Abelian groups of finite rank. ⋮ On the average number of cyclic subgroups of the groups \(\mathbb Z_{n_1} \times\mathbb Z_{n_2}\times \mathbb Z_{n_3}\) with \(n_1,n_2,n_3\le x\) ⋮ The number of subgroups of finite abelian p-groups of rank 4 and higher ⋮ On the error term concerning the number of subgroups of the groups \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(mn \leq x\)
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