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On zeros of some analytic functions related to the Hurwitz zeta-function
A. Laurinčikasa, D. Šiaučiunasb a Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania
b Faculty of Mathematics and Informatics, Šiauliai University, P. Višinskio 19, LT-77156, Šiauliai, Lithuania
Abstract:
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.
Received: 04.05.2012
Citation:
A. Laurinčikas, D. Šiaučiunas, “On zeros of some analytic functions related to the Hurwitz zeta-function”, Chebyshevskii Sb., 13:2 (2012), 86–90
Linking options:
https://www.mathnet.ru/eng/cheb39 https://www.mathnet.ru/eng/cheb/v13/i2/p86
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Abstract page: | 299 | Full-text PDF : | 95 | References: | 51 | First page: | 1 |
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