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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,
Laurinčikas, A., Skerstonaitė, S.
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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.
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PERIOD DEFORMATIONS OF MULTIPLE HURWITZ ZETA FUNCTIONS
International Journal of Mathematics, 2007We study continuous period deformations of the multiple Hurwitz zeta functions and their derivatives. Moreover we investigate period deformations of the generalized multiple gamma and sine functions and give applications.
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Joint universality for periodic Hurwitz zeta-functions
Izvestiya: Mathematics, 2008We prove a joint universality theorem for a collection of periodic Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers.
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Joint limit theorems for periodic Hurwitz zeta-function. II
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2013Summary: In the paper, we prove a joint limit theorem for a collection of periodic Hurwitz zeta-functions with transcendental and rational parameters. For Part I see the second author, Šiauliai Math. Semin. 6(14), 53--68 (2011; Zbl 1268.11126).
Misevičius, G., Rimkevičiene, A.
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Voronin-type theorem for periodic Hurwitz zeta-functions
Sbornik: Mathematics, 2007A result on the approximation of a fixed system of analytic functions by translations of Hurwitz zeta-functions with transcendental parameter is established. This is an analogue of Voronin's theorem on the joint universality of the Dirichlet -functions.Bibliography: 28 titles.
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Some value-distribution theorems for periodic Hurwitz zeta-functions
Journal of Mathematical Sciences, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Mathematics, 2009
We study the asymptotic behavior of multiple Hurwitz zeta functions and generalized multiple gamma and sine functions as some period parameters tend to 0. We obtain the perfect asymptotic expansions and get some applications in refining a previous paper by the author.
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We study the asymptotic behavior of multiple Hurwitz zeta functions and generalized multiple gamma and sine functions as some period parameters tend to 0. We obtain the perfect asymptotic expansions and get some applications in refining a previous paper by the author.
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Joint Universality for L-Functions from the Selberg Class and Periodic Hurwitz Zeta-Functions
Ukrainian Mathematical Journal, 2018This paper is a contribution to the ongoing program launched by Voronin's 1975 theorem on the universality of the Riemann zeta-function. Here, the functions giving rise to a universality phenomenon are: a function \(\mathcal{L}\) belonging to Selberg's class, and a collection of periodic Hurwitz zeta functions, that is, series of the type \[ \zeta(s ...
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On the periodic Hurwitz zeta-function with rational parameter
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2018Antanas Laurinčikas, Dmitrij Mochov
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