Almost periodic functions and property of universality of Dirichlet L-functions
V. N. Kuznetsova, O. A. Matveevab
a Saratov State Technical University
b Saratov State University
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.
universality property, approximate Dirichlet polynomials, almost periodic functions.
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V. N. Kuznetsov, O. A. Matveeva, “Almost periodic functions and property of universality of Dirichlet L-functions”, Chebyshevskii Sb., 19:2 (2018), 368–376
Citation in format AMSBIB
\by V.~N.~Kuznetsov, O.~A.~Matveeva
\paper Almost periodic functions and property of universality of Dirichlet L-functions
\jour Chebyshevskii Sb.
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