Dirichlet approximation and universal Dirichlet series

Aron, Richard; Bayart, Frédéric; Gauthier, Paul; Maestre, Manuel; Nestoridis, Vassili

doi:10.1090/proc/13607

Dirichlet approximation and universal Dirichlet series
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by Richard M. Aron, Frédéric Bayart, Paul M. Gauthier, Manuel Maestre and Vassili Nestoridis PDF

Proc. Amer. Math. Soc. 145 (2017), 4449-4464 Request permission

Abstract:

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 Vituškin. We also strengthen the notion of universal Dirichlet series.

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