On the enumeration of finite Abelian and solvable groups.

DOI10.1016/S0022-314X(03)00055-6zbMath1038.11064MaRDI QIDQ1398959

Emre Alkan

Publication date: 7 August 2003

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

zbMATH Keywords

finite Abelian groupslocal densityprime independent multiplicative functions

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Finite abelian groups (20K01)

Cites Work

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• A zero-density theorem for the Riemann zeta-function
• On the number of Abelian groups of a given order and on certain related multiplicative functions
• Fourier analysis of arithmetical functions
• The distribution of values of the enumerating function of non-isomorphic abelian groups of finite order
• Some results on solvable groups
• On a class of arithmetical functions
• A remark on solvable groups
• Die Werteverteilung der Anzahl der nicht-isomorphen ABELschen Gruppen endlicher Ordnung in kurzen Intervallen
• On the Number of Finite Non‐isomorphic Abelian Groups in Short Intervals
• DIE MAXIMALE ORDNUNG DER ANZAHL DER WESENTLICH VERSCHIEDENEN ABELSCHEN GRUPPEN n-TER ORDNUNG
• ON THE NUMBER OF ABELIAN GROUPS OF A GIVEN ORDER
• Multiple exponential sums with monomials and their applications in number theory

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