An elementary estimate for the $k$-free integers
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- by Eckford Cohen PDF
- Bull. Amer. Math. Soc. 69 (1963), 762-765
References
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1. R. D. Carmichael, On expansions of arithmetical functions, Proc. Nat. Acad. Sci. 16 (1930), 613-616.
- Eckford Cohen, An extension of Ramanujan’s sum, Duke Math. J. 16 (1949), 85–90. MR 27781
- Eckford Cohen, Some sets of integers related to the $k$-free integers, Acta Sci. Math. (Szeged) 22 (1961), 223–233. MR 132051
- Eckford Cohen, On the mean parity of arithmetical functions, Duke Math. J. 36 (1969), 659–668. MR 248098
- Eckford Cohen, Arithmetical functions of a greatest common divisor. III. Cesàro’s divisor problem, Proc. Glasgow Math. Assoc. 5 (1961), 67–75 (1961). MR 150094 6. G. H. Hardy, Ramanujan, Chelsea, New York (in particular, p. 141, paragraph 2).
- 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
- Journal: Bull. Amer. Math. Soc. 69 (1963), 762-765
- DOI: https://doi.org/10.1090/S0002-9904-1963-11024-1
- MathSciNet review: 0153628