2018
Том 70
№ 12

# On Zeros of Periodic Zeta Functions

Abstract

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(ζ(s; $\mathfrak{a}$ )).

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 953-958.

Citation Example: Laurinčikas A., Šiaučiūnas D. On Zeros of Periodic Zeta Functions // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 857–862.

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