@article{Laurinčikas_Šiaučiūnas_2013, title={On Zeros of Periodic Zeta Functions}, volume={65}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2471}, abstractNote={We consider zeta functions <em class="a-plus-plus">ζ</em>(<em class="a-plus-plus">s</em>; <span class="a-plus-plus inline-equation id-i-eq1"> <span class="a-plus-plus equation-source format-t-e-x">\( \mathfrak{a} \)</span> </span>) given by Dirichlet series with multiplicative periodic coefficients and prove that, for some classes of functions F , the functions <em class="a-plus-plus">F</em>(<em class="a-plus-plus">ζ</em>(<em class="a-plus-plus">s</em>; <span class="a-plus-plus inline-equation id-i-eq2"> <span class="a-plus-plus equation-source format-t-e-x">\( \mathfrak{a} \)</span> </span>)) have infinitely many zeros in the critical strip. For example, this is true for sin(<em class="a-plus-plus">ζ</em>(<em class="a-plus-plus">s</em>; <span class="a-plus-plus inline-equation id-i-eq3"> <span class="a-plus-plus equation-source format-t-e-x">\( \mathfrak{a} \)</span> </span&gt;)).}, number={6}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Laurinčikas, A. and Šiaučiūnas, D.}, year={2013}, month={Jun.}, pages={857–862} }