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Weighted universality of periodic zeta-function
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Remarks on the universality of the periodic zeta function
Mathematical Notes, 2006In the paper, the universality of a zeta-function \[ \zeta(s,\mathfrak A)=\sum_{m=1}^\infty a_m m^{-s}, \quad \Re s>1, \] where \(\mathfrak A=\{a_m:m\in\mathbb N\}\) is a periodic sequence of complex numbers with the least period \(k\in\mathbb N\), is considered. The authors continue the investigations of \textit{J.~Steuding} [Value-distribution of \(L\
A Laurincikas, Laurincikas A
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The Atkinson formula for the periodic zeta-function
Lithuanian Mathematical Journal, 2007We give an Atkinson-type formula for the periodic zeta-function ζλ with rational parameter λ.
A Laurincikas, Laurincikas A
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Universality of the periodic Hurwitz zeta-function
Integral Transforms and Special Functions, 2006In this article, the universality in the Voronin sense for the Hurwitz zeta-function with periodic coefficients is proved.
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