Skip to main content
SpringerLink
Log in

Joint value-distribution theorems on Lerch zeta-functions. II

  • Published:
Lithuanian Mathematical Journal Aims and scope Submit manuscript

Abstract

We give corrected statements of some theorems from [5] and [6] on joint value-distribution of Lerch zeta-functions (limit theorems, universality, functional independence). We also present a new direct proof of a joint limit theorem in the space of analytic functions and an extension of a joint universality theorem.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).

    MATH  Google Scholar 

  2. H. Heyer, Probability Measures on Locally Compact Groups, Springer, Berlin (1977).

    MATH  Google Scholar 

  3. A. Laurinčikas, Limit Theorems for the Riemann Zeta-Function, Kluwer, Dordrecht (1996).

    Google Scholar 

  4. A. Laurinčikas and R. Garunkštis, The Lerch Zeta-Function, Kluwer, Dordrecht (2002).

    Google Scholar 

  5. A. Laurinčikas and K. Matsumoto, Joint value-distribution theorems on Lerch zeta-functions, Lith. Math. J., 38(3), 238–249 (1998).

    Article  Google Scholar 

  6. A. Laurinčikas and K. Matsumoto, The joint universality and the functional independence for Lerch zeta-functions, Nagoya Math. J., 157, 211–227 (2000).

    MathSciNet  Google Scholar 

  7. A. Laurinčikas and K. Matsumoto, The joint universality of zeta-functions attached to certain cusp forms, Proc. Sci. Seminar Faculty Phys. Math., Šiauliai University, 5, 58–75 (2002).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225, Vilnius

    A. Laurinčikas

  2. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan

    K. Matsumoto

Authors
  1. A. Laurinčikas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Matsumoto
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 3, pp. 332–350, July–September, 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Laurinčikas, A., Matsumoto, K. Joint value-distribution theorems on Lerch zeta-functions. II. Lith Math J 46, 271–286 (2006). https://doi.org/10.1007/s10986-006-0027-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10986-006-0027-x

Keywords

Search

Navigation