Geodesic
On zeros of some analytic functions related to the Hurwitz zeta-function
Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 86-90

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Let $\zeta(s,\alpha)$ denote the Hurwitz zeta-function. We prove that, for some classes of functions $F$, the function $F(\zeta(s,\alpha))$ has infinitely many zeros in the critical strip. 
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     author = {A. Laurin\v{c}ikas and D. \v{S}iau\v{c}iunas},
     title = {On zeros of some analytic functions related to the {Hurwitz} zeta-function},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {86--90},
     publisher = {mathdoc},
     volume = {13},
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     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/CHEB_2012_13_2_a11/}
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A. Laurinčikas; D. Šiaučiunas. On zeros of some analytic functions related to the Hurwitz zeta-function. Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 86-90. http://geodesic.mathdoc.fr/item/CHEB_2012_13_2_a11/