Skip to main content
Log in

Sums of reciprocals of general divisor functions and the Selberg divisor problem

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 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.

Institutional subscriptions

References

  1. K. Chandrasekharan, R. Narasimhan, Functional Equations with Multiple Gamma Factors and the Average Order of Arithmetical Functions. Ann. of Math.76 (1962), 93–136.

    Article  MathSciNet  Google Scholar 

  2. J.M. De Koninck, A. Ivić, Topics in Arithmetical Functions, North Holland Publ. Co., Amsterdam-New York-Oxford, 1980.

    MATH  Google Scholar 

  3. F. Fricker, Einführung in die Gitterpunktlehre, Birkhäuser, Basel-Boston-Stuttgart, 1982.

    MATH  Google Scholar 

  4. J.L. Hafner, The Distribution and Average Order of the Coefficients of Dedekind ζ Functions. J. Number Th.17 (1983), 183–190.

    Article  MATH  MathSciNet  Google Scholar 

  5. E. Hecke, Lectures on the Theory of Algebraic Numbers, Springer, New York-Heidelberg-Berlin, 1981.

    MATH  Google Scholar 

  6. M.N. Huxley, Exponential Sums and Lattice Points, Proc. London Math. Soc. (3)60 (1990), 471–502.

    Article  MATH  MathSciNet  Google Scholar 

  7. H. Iwaniec, C.J. Mozzochi, On the Divisor and Circle Problems, J. Number Th.29 (1988), 60–93.

    Article  MATH  MathSciNet  Google Scholar 

  8. G.A. Kolesnik, E.G. Strauss, On the Distribution of Integers with a Given Number of Prime Factors, Acta arithm.37 (1980), 181–199.

    MATH  Google Scholar 

  9. E. Krätzel, Lattice Points, Kluwer Acad. Publ., Dordrecht-Boston-London, 1988.

    MATH  Google Scholar 

  10. T. Mitsui, On the Prime Ideal Theorem, J. Math. Soc. Japan20 (1968), 233–247.

    Article  MATH  MathSciNet  Google Scholar 

  11. W. Müller, W.G. Nowak, Lattice Points in Planar Domains: Applications of Huxley's “Discrete Hardy-Littlewood Method,” in: “Number Theoretic Analysis”, Vienna 1988–89, Springer Lecture Notes1452 (eds. E., Hlawka and R.F. Tichy) (1990), 139–164.

  12. W.G. Nowak, Bemerkungen über Fordkugeln, Abh. Math. Sem. Hamburg56 (1986), 245–252.

    Article  MATH  Google Scholar 

  13. F.W.J. Olver, Asymptotics and Special Functions, Acad. Press, New York-San Francisco-London, 1974.

    Google Scholar 

  14. K. Prachar, Primzahlverteilung, Springer Berlin-Göttingen-Heidelberg, 1957.

    MATH  Google Scholar 

  15. G.J. Rieger Zum Teilerproblem von Atle Selberg, Math. Nachr.30 (1965), 181–192.

    Article  MATH  MathSciNet  Google Scholar 

  16. A. Selberg, Note on a Paper by L.G. Sathe, J. Indian Math. Soc.18 (1954), 83–87.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author gratefully acknowledges the financial support he received from CRSNG of Canada during his visit to Université Laval (Quebec City) and Université du Québec à Chicoutimi where he prepared this paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nowak, W.G. Sums of reciprocals of general divisor functions and the Selberg divisor problem. Abh.Math.Semin.Univ.Hambg. 61, 163–173 (1991). https://doi.org/10.1007/BF02950760

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02950760

Keywords

Navigation