Share:


On Zeros of Some Combinations of Dirichlet L-Functions and Hurwitz Zeta-Functions

    Virginija Garbaliauskienė Affiliation
    ; Julija Karaliūnaitė Affiliation
    ; Antanas Laurinčikas Affiliation

Abstract

In the paper, we obtain that certain linear and more general combinations of Dirichlet L-functions and Hurwitz zeta-functions have infinitely many zeros in the critical strip. For the proof, universality of those combinations is applied.

Keyword : Dirichlet L-function, Hurwitz zeta-function, Mergelyan theorem, Rouche theorem, universality

How to Cite
Garbaliauskienė, V., Karaliūnaitė, J., & Laurinčikas, A. (2017). On Zeros of Some Combinations of Dirichlet L-Functions and Hurwitz Zeta-Functions. Mathematical Modelling and Analysis, 22(6), 733-749. https://doi.org/10.3846/13926292.2017.1365313
Published in Issue
Nov 27, 2017
Abstract Views
327
PDF Downloads
200
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.