ON UNIVERSALITY OF PERIODIC ZETA-FUNCTIONS

Author:

Daiva~KORSAKIEN\.E,~Vaida~POCEVI\v{C}IEN\.E,~Darius~\vSIAU\vCI\=UNAS

2010 Mathematics Subject Classification:

11M41.

Keywords:

periodic Hurwitz zeta-function, periodic zeta-func\-tion, space of analytic functions, universality.

Abstract:

We obtain universality theorems for F(\zeta(s; \mathfrak{a}),\zeta(s,\alpha; \mathfrak{b})), where \zeta(s; \mathfrak{a}) and \zeta(s,\alpha; \mathfrak{b}) are periodic and periodic Hurwitz zeta-functions, respectively, and the operator F satisfies certain Lipschitz type conditions.

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Kors-Poce-Siau-2013

Vol. 8 (16), 2013