Abstract
In the paper, a short survey on the theory of the Riemann zetafunction is given. The main attention is given to universality-approximation of analytic functions by shifts of the Riemann zeta-function. This includes the effectivization problem, generalization for other zeta-functions, joint universality as well as some applications.
Mathematics Subject Classification (2010). 11M06, 11M41.
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Laurinčikas, A. (2012). The Riemann Zeta-function: Approximation of Analytic Functions. In: Rogosin, S., Koroleva, A. (eds) Advances in Applied Analysis. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0417-2_2
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DOI: https://doi.org/10.1007/978-3-0348-0417-2_2
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