On the number of Abelian groups of a given order and on certain related multiplicative functions

DOI10.1016/0022-314X(83)90037-9zbMath0502.10028MaRDI QIDQ1172667

Aleksandar Ivić

Publication date: 1983

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Tauberian theoremlocal densitiesdistribution of valuesiterated functionsasymptotic formulaenumber of nonisomorphic Abelian groupsnumber of square-full divisorsprime independent multiplicative functions

Mathematics Subject Classification ID

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

Related Items (4)

The general divisor problem ⋮ On the enumeration of finite Abelian and solvable groups. ⋮ On some sums involving the counting function of nonisomorphic abelian groups ⋮ Short interval results for certain prime-independent multiplicative functions

Cites Work

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• DIE MAXIMALE ORDNUNG DER ANZAHL DER WESENTLICH VERSCHIEDENEN ABELSCHEN GRUPPEN n-TER ORDNUNG
• Локальные теоремы с остаточным членом для одного класса арифметических функций
• On the number of Abelian groups of a given order
• ON THE NUMBER OF ABELIAN GROUPS OF A GIVEN ORDER

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