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arXiv · 1608.06457

Dirichlet approximation and universal Dirichlet series

Richard Aron·Frédéric Bayart·Paul Gauthier·Manuel Maestre·Vassili Nestoridis
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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 Vitushkin. We also strengthen the notion of universal Dirichlet series.

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Richard Aron, Frédéric Bayart, Paul Gauthier, Manuel Maestre, Vassili Nestoridis. 2016-08-23. Dirichlet approximation and universal Dirichlet series. https://arxiv.org/abs/1608.06457

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