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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 4, Pages 790–805
(Mi smj2572)
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The joint universality of Dirichlet $L$-functions and Lerch zeta-functions
A. Laurinčikasa, R. Macaitienėb a Vilnius University, Vilnius, Lietuva
b Šiauliai University, Šiauliai, Lietuva
Abstract:
We establish a Voronin-type joint universality theorem on approximating analytic functions by the translations of Dirichlet $L$-functions and Lerch zeta-functions.
Keywords:
Lerch zeta-function, Dirichlet $L$-function, limit theorem, space of analytic functions, Haar measure, universality.
Received: 29.11.2012
Citation:
A. Laurinčikas, R. Macaitienė, “The joint universality of Dirichlet $L$-functions and Lerch zeta-functions”, Sibirsk. Mat. Zh., 55:4 (2014), 790–805; Siberian Math. J., 55:4 (2014), 645–657
Linking options:
https://www.mathnet.ru/eng/smj2572 https://www.mathnet.ru/eng/smj/v55/i4/p790
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Abstract page: | 283 | Full-text PDF : | 70 | References: | 55 | First page: | 14 |
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