On Zeros of Periodic Zeta Functions

• Datum: 2013
• Hauptverfasser: Laurinčikas, A., Šiaučiūnas, D., Лаурінчікас, А., Шяучюнас, Д.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2471
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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(...