On the error term for the counting functions of finite Abelian groups

DOI10.1007/BF01535578zbMath0763.11039OpenAlexW1972778586MaRDI QIDQ1207657

Aleksandar Ivić

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178580

zbMATH Keywords

Riemann zeta-functionasymptotic formulaerror termnumber of direct factorsMellin inversion formulanumber of non-isomorphic Abelian groups

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) (zeta (s)) and (L(s, chi)) (11M06)

Cites Work

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• The general divisor problem
• Some new estimates in the Dirichlet divisor problem
• On the number of abelian groups of a given order
• 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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