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This article is cited in 11 scientific papers (total in 11 papers)
On the Joint Universality of Periodic Zeta Functions
A. P. Laurincikasa, R. Macaitienéb a Vilnius University
b Siauliai University
Abstract:
In this paper, we obtain the joint universality (in the sense of Voronin) of Dirichlet series with periodic multiplicative coefficients. The proof is based on a joint limit theorem in the space of analytic functions.
Keywords:
periodic zeta function, Dirichlet series, analytic function, meromorphic function, zeta function, Lebesgue measure, Euler function, probability measure.
Received: 12.12.2007 Revised: 18.04.2008
Citation:
A. P. Laurincikas, R. Macaitiené, “On the Joint Universality of Periodic Zeta Functions”, Mat. Zametki, 85:1 (2009), 54–64; Math. Notes, 85:1 (2009), 51–60
Linking options:
https://www.mathnet.ru/eng/mzm4412https://doi.org/10.4213/mzm4412 https://www.mathnet.ru/eng/mzm/v85/i1/p54
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