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The distribution of the average prime divisor of an integer

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References

  1. K. Alladi andP. Erdös, On an additive arithmetic function. Pacific J. Math.71, 275–294 (1977).

    Google Scholar 

  2. N. G. de Bruijn, On the number of positive integers ≦x and free of prime factors >y. Indag. Math.13, 50–60 (1951) and II ibid.28, 239–247 (1966).

    Google Scholar 

  3. J.-M. De Koninck, P. Erdös andA. Ivić, Reciprocals of large additive functions. Canadian Math. Bull.24, 225–231 (1981).

    Google Scholar 

  4. J.-M.De Koninck and A.Ivić, Topics in arithmetical functions. Notás de Matemática72, Amsterdam 1980.

  5. J.-M.De Koninck et A.Ivić, Sommes de réciproques de grandes fonctions additives. Publs. Inst. Mathém. Belgrade 35 (1984), in print.

  6. P. Erdös andA. Ivić, Estimates for sums involving the largest prime factor of an integer and certain related additive functions. Studia Scien. Math. Hungarica15, 183–199 (1980).

    Google Scholar 

  7. P. Erdös andA. Ivić, On sums involving reciprocals of certain arithmetical functions. Publs. Inst. Mathém. Belgrade32, 49–56 (1982).

    Google Scholar 

  8. P.Erdös, A.Ivić and C.Pomerance, On sums involving reciprocals of the largest prime factor of an integer. To appear.

  9. A. Ivić, Sums of reciprocals of the largest prime factor of an integer. Arch. Math.36, 57–61 (1980).

    Google Scholar 

  10. A.Ivić and C.Pomerance, Estimates of certain sums involving the largest prime factor of an integer. Coll. Math. Soc. J. Bolyai34, Topics in classical number theory, Amsterdam 1984.

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Author notes

  1. Jean Marie De Koninck

    Present address: Département de Mathématiques, Université Laval, G1K 7P4, Québec, Canada

  2. Aleksandar Ivić

    Present address: Katedra Matematike, RGF-a Universiteta u Beogradu, Djušina 7, 11000, Beograd, Yugoslavia

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    1. Jean Marie De Koninck
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    2. Aleksandar Ivić
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    De Koninck, J.M., Ivić, A. The distribution of the average prime divisor of an integer. Arch. Math 43, 37–43 (1984). https://doi.org/10.1007/BF01193609

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