On a Dirichlet series connected to a periodic Hurwitz zeta-function with transcendental and rational parameter

DOI: https://doi.org/10.3846/mma.2023.17222

Abstract

In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the universality property on the approximation of a wide class of analytic functions.

Keywords:

Haar measure, periodic Hurwitz zeta-function, space of analytic functions, universality, weak convergence
Published in Issue
January 19, 2023
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How to Cite

Balčiūnas, A., Laurinčikas, A., & Stoncelis, M. (2023). On a Dirichlet series connected to a periodic Hurwitz zeta-function with transcendental and rational parameter. Mathematical Modelling and Analysis, 28(1), 91–101. https://doi.org/10.3846/mma.2023.17222

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References

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A. Javtokas and A. Laurinčikas. On the periodic Hurwitz zeta-function. HardyRamanujan Journal, 29:18–36, 2006. https://doi.org/10.46298/hrj.2006.154"> https://doi.org/10.46298/hrj.2006.154

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A. Laurinčikas, R. Macaitienė, D. Mochov and D. Šiaučiūnas. Universality of the periodic Hurwitz zeta-function with rational parameter. Siberian Mathematical Journal, 59(5):894–900, 2018. https://doi.org/10.1134/S0037446618050130"> https://doi.org/10.1134/S0037446618050130

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Published

2023-01-19

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How to Cite

Balčiūnas, A., Laurinčikas, A., & Stoncelis, M. (2023). On a Dirichlet series connected to a periodic Hurwitz zeta-function with transcendental and rational parameter. Mathematical Modelling and Analysis, 28(1), 91–101. https://doi.org/10.3846/mma.2023.17222

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