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This article is cited in 7 scientific papers (total in 7 papers)
Joint universality for periodic Hurwitz zeta-functions
A. Laurinčikasab
a Vilnius University
b Institute of Mathematics and Informatics
Abstract:
We obtain a joint universality theorem of Voronin type for systems of periodic Hurwitz zeta-functions with parameters $\alpha_1,…,\alpha_r$ such that the system $\{\log(m+\alpha_j):j=1,…,r, m\in\mathbb{N}_0\}$ is linearly independent over the field of rational numbers.
DOI:
https://doi.org/10.4213/im2602
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English version:
Izvestiya: Mathematics, 2008, 72:4, 741–760
Bibliographic databases:
     
UDC:
511.33
MSC: 11M35
Received: 25.12.2006
Revised: 30.07.2007
Citation:
A. Laurinčikas, “Joint universality for periodic Hurwitz zeta-functions”, Izv. RAN. Ser. Mat., 72:4 (2008), 121–140; Izv. Math., 72:4 (2008), 741–760
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/izv2602https://doi.org/10.4213/im2602 http://mi.mathnet.ru/eng/izv/v72/i4/p121
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Russian articles,
English articles
This publication is cited in the following articles:
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Laurinčikas A., Skerstonaitė S., “A joint universality theorem for periodic Hurwitz zeta-functions. II”, Lith. Math. J., 49:3 (2009), 287–296
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Genys J., Macaitiene R., Račkauskiene S., Šiaučiūnas D., “A mixed joint universality theorem for zeta-functions”, Math. Model. Anal., 15:4 (2010), 431–446
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Antanas Laurinčikas, Renata Macaitienė, Darius Šiaučiūnas, “Joint universality for zeta-functions of different types”, Chebyshevskii sb., 12:2 (2011), 192–203
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Janulis K., Laurinčikas A., Macaitiene R., Siaučiūnas D., “Joint universality of Dirichlet $L$-functions and periodic Hurwitz zeta-functions”, Math. Model. Anal., 17:5 (2012), 673–685
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Matsumoto K., “a Survey on the Theory of Universality For Zeta and l-Functions”, Number Theory: Plowing and Starring Through High Wave Forms, Series on Number Theory and Its Applications, 11, ed. Kaneko M. Kanemitsu S. Liu J., World Scientific Publ Co Pte Ltd, 2015, 95–144
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A. Laurinčikas, L. Meška, “Modification of the Mishou theorem”, Chebyshevskii sb., 17:3 (2016), 135–147
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Balciunas A., Garbaliauskiene V., Karaliunaite J., Macaitiene R., Petuskinaite J., Rimkeviciene A., “Joint Discrete Approximation of a Pair of Analytic Functions By Periodic Zeta-Functions”, Math. Model. Anal., 25:1 (2020), 71–87
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