Abstract
The periodic Hurwitz zeta-function, a generalization of the classical Hurwitz zeta-function, is defined by a Dirichlet series with periodic coefficients and depends on a fixed parameter. We show that a wide class of analytic functions is approximated by shifts of a periodic zeta-function with rational parameter.
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Original Russian Text © 2018 Laurinčikas A., Macaitienė R., Mochov D., and Šiaučiūnas D.
Vilnius; Šiauliai. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 5, pp. 1128–1135, September–October, 2018; DOI: 10.17377/smzh.2018.59.513.
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Laurinčikas, A., Macaitienė, R., Mochov, D. et al. Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter. Sib Math J 59, 894–900 (2018). https://doi.org/10.1134/S0037446618050130
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DOI: https://doi.org/10.1134/S0037446618050130