On the asymptotic behaviour of the number of subgroups of finite abelian groups

DOI10.1007/S000130050098zbMath0907.11030OpenAlexW2017535590MaRDI QIDQ1383586

Jie Wu, Gautami Bhowmik

Publication date: 27 July 1998

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050098

zbMATH Keywords

exponential sumsabelian groupssubgroupsrankasymptotic formulamultiple exponential sumsasymptotic formulasSmith normal formnumber of distinct prime divisorsDirichlet hyperbola principle

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on counting functions for algebraic and topological structures (11N45) Finite abelian groups (20K01) Subgroups of abelian groups (20K27)

Related Items (7)

Counting subgroups of fixed order in finite abelian groups ⋮ 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 ⋮ Manin's conjecture for a class of singular cubic hypersurfaces ⋮ Algebra of matrix arithmetic ⋮ A Turán-Kubilius inequality for integer matrices ⋮ On the number of subgroups of finite abelian groups

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