Approximation in measure: the Dirichlet problem, universality and the Riemann hypothesis
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Published:2021-06-01
Issue:3
Volume:85
Page:547-561
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ISSN:1064-5632
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Container-title:Izvestiya: Mathematics
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language:
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Short-container-title:Izv. Math.
Author:
Falcó J.,Gauthier P. M.
Abstract
Abstract
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.
Funder
Natural Sciences and Engineering Research Council of Canada
Ministerio de Economía y Competitividad de España
Federación Española de Enfermedades Raras
Subject
General Mathematics