On the number of finite non-isomorphic Abelian groups in short intervals

DOI10.1017/S030500410007287XzbMath0822.11067OpenAlexW137443868MaRDI QIDQ4697485

Hongze Li

Publication date: 23 October 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410007287x

zbMATH Keywords

asymptotic resultsfinite abelian groupsshort intervalserror termsarithmetic functionsdivisor problemsnumber of non-isomorphic abelian groups of order \(n\)

Mathematics Subject Classification ID

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

Related Items (2)

Starting with gaps between k-free numbers ⋮ Short interval results for certain prime-independent multiplicative functions

Cites Work

• 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
• On Gaps Between Squarefree Numbers II
• On the Gaps between Consecutive k -Free Integers

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