Geodesic
Almost periodic functions and property of universality of Dirichlet L-functions
Čebyševskij sbornik, Tome 19 (2018) no. 2, pp. 368-376

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The term "universality" for functions was introduced in the early 1970s by E.M. Voronin and the meaning that is embedded in this concept is that a very general class of analytic functions admits approximation by vertical shifts of a given function. In 1975, S.M. Voronin proved the universality property for Riemann zeta-functions, and in 1977 for the Dirichlet L-function. In this paper we propose a proof of the universality property for Dirichlet L-functions that is different from SM's proof. Voronin, based on a rapid approximation in the critical band of Dirichlet L-functions by Dirichlet polynomials.
Keywords: universality property, approximate Dirichlet polynomials, almost periodic functions. 
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     author = {V. N. Kuznetsov and O. A. Matveeva},
     title = {Almost periodic functions and property of universality of {Dirichlet} {L-functions}},
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V. N. Kuznetsov; O. A. Matveeva. Almost periodic functions and property of universality of Dirichlet L-functions. Čebyševskij sbornik, Tome 19 (2018) no. 2, pp. 368-376. http://geodesic.mathdoc.fr/item/CHEB_2018_19_2_a25/