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The number of square-full divisors of an integer


Authors: D. Suryanarayana and R. Sitaramachandra Rao
Journal: Proc. Amer. Math. Soc. 34 (1972), 79-80
MSC: Primary 10H15
DOI: https://doi.org/10.1090/S0002-9939-1972-0291104-8
MathSciNet review: 0291104
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Abstract: Let $ \alpha (n)$ denote the number of square-full divisors of n. In this note an asymptotic formula for $ \sum\nolimits_{n \leqq x} {\alpha (n)} $ is established.


References [Enhancements On Off] (What's this?)

  • [1] E. Krätzel, Teilerprobleme in drei Dimensionen, Math. Nachr. 42 (1969), 275-288. MR 41 #6794. MR 0262184 (41:6794)
  • [2] E. Landau, Über die Anzahl der Gitterpunkte in gewissen Berichen (Vierte Abhandlung) Nachr. Ges. Wiss. Z. Gottingen Math.-Phys. Kl. 1924, 137-150.
  • [3] -, Ausgerwählte Abhandlungen zur Gitterpunktlehre, Herausgegeben von Arnold Walfisz, VEB Deutscher Verlag der Wissenschaften, Berlin, 1962. MR 27 #112. MR 0150109 (27:112)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0291104-8
Keywords: Square-full divisors, Riemann zeta function
Article copyright: © Copyright 1972 American Mathematical Society

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