Dirichlet approximation and universal Dirichlet series
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🧮 math.CV
keywords
dirichletapproximationresultsseriesuniversalanalogouscharacterizechordal
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We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and {to} the chordal one as well, analogous to classical results of Runge, Mergelyan and Vitushkin. We also strengthen the notion of universal Dirichlet series.
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