Results 111 to 120 of about 5,624,176 (134)
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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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Joint discrete mixed universality of L-functions of new forms and periodic Hurwitz zeta-function
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2018In the paper, we study the analytic properties of the pair consisting of the L-functions of new forms and periodic Hurwitz zeta-functions with a transcendental parameter, i.e., we investigate the mixed joint discrete value distribution of this tuple in two cases. For this purpose, certain arithmetical conditions are used.
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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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ON ZEROS OF BILATERAL HURWITZ AND PERIODIC ZETA AND ZETA STAR FUNCTIONS
Rocky Mountain Journal of Mathematics, 2023exaly