On Zeros of Periodic Zeta Functions

We consider zeta functions ζ(s; \( \mathfrak{a} \) ) given by Dirichlet series with multiplicative periodic coefficients and prove that, for some classes of functions F , the functions F(ζ(s; \( \mathfrak{a} \) )) have infinitely many zeros in the critical strip. For example, this is true for sin(...

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Bibliographic Details
Date:2013
Main Authors: Laurinčikas, A., Šiaučiūnas, D., Лаурінчікас, А., Шяучюнас, Д.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2471
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal