On the number of subgroups of finite abelian groups

DOI10.1007/BF02940822zbMath0890.11027OpenAlexW2033133974MaRDI QIDQ5906859

Hartmut Menzer, Gautami Bhowmik

Publication date: 3 July 1998

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940822

zbMATH Keywords

abelian groupsrankasymptotic formulasnumber of subgroupsDirichlet hyperbola principle

Mathematics Subject Classification ID

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

Related Items (4)

Multiple zeta functions and asymptotic structure of free Abelian groups of finite rank. ⋮ The Piltz's problem over a ring of matrices of second order with integer elements ⋮ ON THE AVERAGE NUMBER OF SUBGROUPS OF THE GROUP ℤ_m × ℤ_n ⋮ On the number of subgroups of finite abelian groups

Cites Work

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• SOLOMON'S ZETA FUNCTION AND ENUMERATION OF LATTICES OVER ORDERS
• Average orders of multiplicative arithmetical functions of integer matrices
• Divisor problems of 4 and 3 dimensions
• On the average number of direct factors of a finite abelian group
• On the average number of direct factors of a finite Abelian group
• On the average number of direct factors of a finite Abelian group

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