On the distribution of powerful numbers

DOI10.1007/BF02940832zbMath0893.11036MaRDI QIDQ1378252

Hartmut Menzer

Publication date: 10 August 1998

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

divisor problemRiemann zeta-functionasymptotic formulaspowerful numbers\(\ell\)-free numbers\(k\)-full numbers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (1)

The distribution of \(k\)-full and \(l\)-free numbers

Cites Work

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• The distribution of powerful integers
• Estimates in the general divisor problem
• The distribution of 4-full numbers
• On the distribution of square-full and cube-full numbers
• Divisor Problems and Powerful Numbers
• Many-Dimensional Generalized Divisor Problems
• Über die Anzahl quadratvoller Zahlen in kurzen Intervallen und ein verwandtes Gitterpunktproblem
• The number of cube-full numbers in an interval
• Divisor problems of 4 and 3 dimensions
• The square-full numbers in an interval
• The number of squarefull numbers in an interval
• Zur Anzahl Abelscher Gruppen gegebener Ordnung II
• On a theorem of Erdős and Szekeres
• The distribution of powerful integers of type 4

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