Counting subgroups of the groups \({\mathbb{Z}}_{n_1} \times \cdots \times{\mathbb{Z}}_{n_k}\): a survey
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Publication:6610540
DOI10.1007/978-3-031-51959-8_18zbMATH Open1548.20088MaRDI QIDQ6610540
Publication date: 25 September 2024
Asymptotic results on arithmetic functions (11N37) Finite abelian groups (20K01) Subgroups of abelian groups (20K27)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- An expression for the number of subgroups of a given order of a finite p- group
- On the error term concerning the number of subgroups of the groups \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(mn \leq x\)
- A new method of proving some classical theorems of Abelian groups.
- On computing the number of subgroups of a finite Abelian group
- On Butler's unimodality result
- On the subgroups of an \textit{Abelian} groups.
- On Jordan's generalization of Euler's function
- On certain trigonometric sums in several variables
- Subgroup lattices of groups
- Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function
- A note on Shen's conjecture on groups with given same-order type
- On the average number of subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(k\)-th power sequence
- 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 \(n_1,n_2,n_3\le x\)
- Representing and counting the subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\)
- Number of the subgroups of any given abelian group.
- Fonctions de Möbius sur les groupes abeliens finis
- Error term concerning number of subgroups of group \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(m^2 + n^2 \le x\)
- Estimation of multiple sums of arithmetical functions
- A generalized Goursat lemma
- AN EXPLICIT FORMULA FOR THE NUMBER OF SUBGROUPS OF A FINITE ABELIAN p-GROUP UP TO RANK 3
- Counting the Subgroups of Some Finite Groups
- Rationality of the zeta function of the subgroups of abelian $p$-groups
- Counting Subgroups in a Direct Product of Finite Cyclic Groups
- An arithmetic method of counting the subgroups of a finite abelian group
- Menon's identity and arithmetical sums representing functions of several variables
- On automorphisms of finite Abelian p-groups
- Alternative formulae for the number of sublattices
- SOLOMON'S ZETA FUNCTION AND ENUMERATION OF LATTICES OVER ORDERS
- A Unimodality Result in the Enumeration of Subgroups of a Finite Abelian Group
- Subgroup lattices and symmetric functions
- On the error term concerning the number of subgroups of the groups $\mathbb {Z}_m \times \mathbb {Z}_n$ with $m,n\le x$
- Evaluation of divisor functions of matrices
- On the number of cyclic subgroups of a finite abelian group
- On the number of subgroups of a given exponent in a finite abelian group
- Counting subgroups of fixed order in finite abelian groups
- On the weighted average number of subgroups of ℤm × ℤn with mn ≤ x
- Subgroups of Finite Abelian Groups Having Rank Two via Goursat’s Lemma
- The number of subgroups of finite abelian p-groups of rank 4 and higher
- Multiplicative Arithmetic Functions of Several Variables: A Survey
- A Group Theoretic Approach to a Famous Partition Formula
- On the subgroups of finite Abelian groups of rank three
- Gaussian binomials and the number of sublattices
- ON THE AVERAGE NUMBER OF SUBGROUPS OF THE GROUP ℤm × ℤn
- Automorphisms of Finite Abelian Groups
- On prime power Abelian groups
- On the Lattice of Subgroups of Finite Groups
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