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Some value-distribution theorems for periodic Hurwitz zeta-functions

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Abstract

This present paper is a survey of recent value-distribution results for periodic Hurwitz zeta-functionsis. These results include probabilistic limit theorems, universality, and the functional independence of periodic Hurwitz zeta-functions. Both one-dimensional and joint value-distribution theorems are concerned.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT 03225, Vilnius, Lithuania

    A. Laurinčikas

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  1. A. Laurinčikas
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Correspondence to A. Laurinčikas.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 5, pp. 79–92, 2010.

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Laurinčikas, A. Some value-distribution theorems for periodic Hurwitz zeta-functions. J Math Sci 180, 581–591 (2012). https://doi.org/10.1007/s10958-012-0657-y

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