Skip to main content
Log in

The average prime divisor of an integer in short intervals

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. J.-M. De Koninck andA. Ivić, The distribution of the average prime divisor of an integer. Arch. Math.43, 37–43 (1984).

    Google Scholar 

  2. J.-M.De Koninck et A.Mercier, Les fonctions arithmétiques et le plus grand facteur premier. Acta Arith., in print.

  3. A. Ivić, On sums of large differences between consecutive primes. Math. Ann.241, 1–9 (1979).

    Google Scholar 

  4. A.Ivić, The Riemann zeta-function. New York 1985.

  5. J. Karamata, Sur un mode de croissance régulière des fonctions. Mathematica (Cluj)4, 38–53 (1930).

    Google Scholar 

  6. H. L.Montgomery, Topics in multiplicative number theory. LNM227, Berlin-Heidelberg-New York 1971.

  7. C. J. Mozzochi, On the difference between consecutive primes. J. Number Theory24, 181–187 (1986).

    Google Scholar 

  8. E.Seneta, Regularly varying functions. LNM508, Berlin-Heidelberg-New York 1976.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

De Koninck, J.M., Ivić, A. The average prime divisor of an integer in short intervals. Arch. Math 52, 440–448 (1989). https://doi.org/10.1007/BF01198351

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01198351

Keywords

Navigation