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A discrete universality Theorem for periodic Hurwitz zeta-functions
LAURINCIKAS ANTANAS, MOCHOV DMITRIJ
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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.
A Laurincikas
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The joint universality for periodic Hurwitz zeta-functions
Analysis (Germany), 2006We prove a joint universality theorem for the Hurwitz zeta-functions with periodic coefficients.
Antanas Laurincikas
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The discrete universality of the periodic Hurwitz zeta function
Integral Transforms and Special Functions, 2009The periodic Hurwitz zeta function , s=σ+it, 0 1, by and by analytic continuation elsewhere. Here {a m } is a periodic sequence of complex numbers. In this paper, a discrete universality theorem for the function with a transcendental parameter α is proved.
A Laurincikas
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On joint universality of periodic Hurwitz zeta-functions
Lithuanian Mathematical Journal, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Laurincikas
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A joint universality theorem for periodic Hurwitz zeta-functions. II
Lithuanian Mathematical Journal, 2009The aim of this paper is to prove a joint universality theorem for the functions \(\zeta(s, \alpha_1; \mathfrak A_1), \ldots,\) \(\zeta(s, \alpha_r; \mathfrak A_r)\) without using the hypothesis on the rank of the matrix \(A\) [\textit{A. Javtokas} and the first author [Bull. Aust. Math. Soc. 78, No. 1, 13--33 (2008; Zbl 1228.11136)]. Let \[ L(\alpha_1,
A Laurincikas
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