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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

An elementary estimate for the $k$-free integers


Author: Eckford Cohen
Journal: Bull. Amer. Math. Soc. 69 (1963), 762-765
DOI: https://doi.org/10.1090/S0002-9904-1963-11024-1
MathSciNet review: 0153628
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References | Additional Information

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

  • 1. R. D. Carmichael, On expansions of arithmetical functions, Proc. Nat. Acad. Sci. 16 (1930), 613-616.
  • 2. Eckford Cohen, An extension of Ramanujan’s sum, Duke Math. J. 16 (1949), 85–90. MR 0027781
  • 3. Eckford Cohen, Some sets of integers related to the 𝑘-free integers, Acta Sci. Math. Szeged 22 (1961), 223–233. MR 0132051
  • 4. Eckford Cohen, On the mean parity of arithmetical functions, Duke Math. J. 36 (1969), 659–668. MR 0248098
  • 5. Eckford Cohen, Arithmetical functions of a greatest common divisor. III. Cesàro’s divisor problem, Proc. Glasgow Math. Assoc. 5 (1961), 67–75 (1961). MR 0150094
  • 6. G. H. Hardy, Ramanujan, Chelsea, New York (in particular, p. 141, paragraph 2).
  • 7. G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1963-11024-1