Approximation in measure: the Dirichlet problem, universality and the Riemann hypothesis
- Authors: Falcó J.1, Gauthier P.M.2
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Affiliations:
- Universidad de Valencia
- Université de Montréal, Département de Mathématiques et deStatistique
- Issue: Vol 85, No 3 (2021)
- Pages: 222-238
- Section: Articles
- URL: https://ogarev-online.ru/1607-0046/article/view/133875
- DOI: https://doi.org/10.4213/im9033
- ID: 133875
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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.
About the authors
Javier Falcó
Universidad de Valencia
Paul M. Gauthier
Université de Montréal, Département de Mathématiques et deStatistique
Email: gauthier@dms.umontreal.ca
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