On Zeros of Some Combinations of Dirichlet L-Functions and Hurwitz Zeta-Functions
DOI: https://doi.org/10.3846/13926292.2017.1365313Abstract
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.
Keywords:
Dirichlet L-function, Hurwitz zeta-function, Mergelyan theorem, Rouche theorem, universalityHow 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
Share
License
Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
2017-11-27
Issue
Section
Articles
Copyright
Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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