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Die Verteilung der k-vollen und l-freien Zahlen

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Zusammenfassung

We consider the distribution ofk-full numbers. But we go into more detail and investigate suchk-full integers which are at the same timel-free. We give asymptotic results for the numberN k,l (x) ofk- full andl-free integers not exceedingx in cases ofl =k + r with 2 ≤r ≤ 5. Moreover, we consider these cases and the casesk = 2, 3,l ≥k + 2 also under the assumption of Riemann’s Hypothesis.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Österreich

    R. Seibold & E. Krätzel

Authors
  1. R. Seibold
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  2. E. Krätzel
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Seibold, R., Krätzel, E. Die Verteilung der k-vollen und l-freien Zahlen. Abh.Math.Semin.Univ.Hambg. 68, 305–320 (1998). https://doi.org/10.1007/BF02942568

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  • DOI: https://doi.org/10.1007/BF02942568

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