Skip to main content
Log in

On Statistical Properties of the Lerch Zeta-Function. II

  • Published:
Lithuanian Mathematical Journal Aims and scope Submit manuscript

Abstract

A discrete limit theorem for the Lerch zeta-function with an integer parameter in the space of meromorphic functions is proved.

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 Probability Measures, Wiley, New York (1968).

    Google Scholar 

  2. H. Davenport, Multiplicative Number Theory, Markham Publishing Company, Chicago (1967).

    Google Scholar 

  3. J. Ignatavičiute, A limit theorem for the Lerch zeta-function, Liet. Matem. Rink., 40(special issue), 21–27 (2000).

    Google Scholar 

  4. J. Ignatavičiute, On statistic properties of the Lerch zeta-function, Lith. Math. J., 41(4), 330–343 (2001).

    Google Scholar 

  5. A. Laurinčikas, On limit distribution of the Lerch zeta-function, in: New Trends in Probab. and Statist., Vol. 4, Analytic and Probabilistic Methods in Number Theory, A. Laurinčikas et al. (Eds.), VSP, Utrecht/TEV, Vilnius (1997), pp. 135–148.

    Google Scholar 

  6. A. Laurinčikas, A limit theorem for the Lerch zeta-function on the space of analytic functions, Lith. Math. J., 37(2), 191–203 (1997).

    Google Scholar 

  7. H. L. Montgomery, Topics in Multiplicative Number Theory, Springer, Berlin (1971).

    Google Scholar 

  8. A. A. Tempelman, Ergodic Theorems on Groups [in Russian], Mokslas, Vilnius (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ignatavičiūtė, J. On Statistical Properties of the Lerch Zeta-Function. II. Lithuanian Mathematical Journal 42, 270–285 (2002). https://doi.org/10.1023/A:1020273909734

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020273909734

Navigation