Geodesic
Approximation in measure: the Dirichlet problem, universality and~the~Riemann hypothesis
Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 547-561

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We use approximation in measure to solve an asymptotic Dirichlet problem on arbitrary open sets and to show that many functions, including the Riemann zeta-function, are universal in measure. Connections with the Riemann hypothesis are suggested.
Keywords: harmonic approximation in measure, harmonic, holomorphic, Dirichlet problem, Riemann zeta-function, universality. 
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     title = {Approximation in measure: the {Dirichlet} problem, universality {and~the~Riemann} hypothesis},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_3_a14/}
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J. Falcó; P. M. Gauthier. Approximation in measure: the Dirichlet problem, universality and~the~Riemann hypothesis. Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 547-561. http://geodesic.mathdoc.fr/item/IM2_2021_85_3_a14/