Skip to main content
Log in

Limit theorems for the Estermann zeta-function. II

  • Published:
Central European Journal of Mathematics

Abstract

A limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for the Estermann zeta-function is obtained.

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.

Similar content being viewed by others

References

  1. P. Billingsley: Convergence of Probbility Measures, Wiley, New York, 1968.

    Google Scholar 

  2. H. Bohr and B. Jessen: “Über die Wertverteilung der Riemannschen Zeta funktion”, Erste Mitteilung, Acta Math., Vol. 54, (1930), pp. 1–35.

    MATH  Google Scholar 

  3. H. Bohr and B. Jessen: “Über die Wertverteilung der Riemannschen Zeta funktion”, Zweite Mitteilung, Acta Math., Vol. 58, (1932), pp. 1–55.

    MATH  Google Scholar 

  4. J.B. Conway: Functions of One Complex Variable, Springer-Verlag, New York, 1973.

    MATH  Google Scholar 

  5. J. Genys and A. Laurinčikas: “Value distribution of general Dirichlet series. IV”, Liet. Matem. Rink, Vol. 43, No. 3, (2003), pp. 342–358; Lith. Math. J., Vol. 42, No. e, (2003), pp. 281–294 (in Russian).

    MATH  Google Scholar 

  6. A. Laurinčikas: Limit Theorems for the Riemann Zeta-function, Kluwer, Dordrecht, Boston, London, 1996.

    Google Scholar 

  7. A. Laurinčikas and R. Garunkštis: The Lerch Zeta-Function, Kluwer, Dordrecht, Boston, London, 2002.

    Google Scholar 

  8. A. Laurinčikas: “Limit theorems for the Estermann zeta-function. I”, Satist. Probab. Letters, Vol. 72(3), (2005), pp. 227–235.

    Article  Google Scholar 

  9. M. Loève: Probability Theory, Van Nostrand, Toronto, 1955.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by Lithuanian Foundation of Studies and Science

About this article

Cite this article

Laurinčikas, A. Limit theorems for the Estermann zeta-function. II. centr.eur.j.math. 3, 580–590 (2005). https://doi.org/10.2478/BF02475619

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.2478/BF02475619

Keywords

MSC (2000)

Navigation