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The number of \(k\)-ary divisors of an integer. (English) Zbl 0167.04101


MSC:

11N37 Asymptotic results on arithmetic functions
11A25 Arithmetic functions; related numbers; inversion formulas

Keywords:

number theory

Citations:

Zbl 0139.27204
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Full Text: DOI EuDML

References:

[1] E. Cohen: The number of unitary divisors of an integer, Amer. Math. Monthly,67, 879-880 (1960). · Zbl 0127.27004 · doi:10.2307/2309455
[2] G. H. Hardy andE. M. Wright: An introduction to the theory of numbers, 4th ed., Oxford, 1965, p. 272. · Zbl 0020.29201
[3] A. A. Gioia andA. M. Vaidya: The number of square-free divisors of an integer, Duke Math. J.33, 797-799 (1966). · Zbl 0139.27204 · doi:10.1215/S0012-7094-66-03396-5
[4] E. Landau: Handbuch der Lehre von der Verteilung der Primzahlen, Leipzig, 1909 (Chelsea reprint, 1953), p. 594. · JFM 40.0232.08
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