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Izvestiya: Mathematics, 2021, Volume 85, Issue 3, Pages 547–561
DOI: https://doi.org/10.1070/IM9033 (Mi im9033) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Approximation in measure: the Dirichlet problem, universality and the Riemann hypothesis

J. Falcóa, P. M. Gauthierb

a Departamento de Análisis Matemático, Universidad de Valencia, Burjasot (Valencia), Spain
b Département de mathématiques et de statistique, Université de Montréal, Montréal, Québec, Canada
English version PDF (491 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM9033
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.
Keywords: harmonic approximation in measure, harmonic, holomorphic, Dirichlet problem, Riemann zeta-function, universality.
Funding agency Grant number
Ministerio de Economía y Competitividad de España
Federación Española de Enfermedades Raras MTM2017-83262-C2-1-P
Natural Sciences and Engineering Research Council of Canada (NSERC) RGPIN-2016-04107
The first author was supported by MINECO and FEDER Project MTM2017-83262-C2-1-P. The second author was supported by NSERC (Canada) grant RGPIN-2016-04107.
Received: 13.03.2020
Revised: 12.06.2020
Bibliographic databases:
Document Type: Article
UDC: 517.577+511.331
MSC: Primary 30K99, 30E10; Secondary 31C12, 11M06
Language: English
Original paper language: Russian
Citation: J. Falcó, P. M. Gauthier, “Approximation in measure: the Dirichlet problem, universality and the Riemann hypothesis”, Izv. Math., 85:3 (2021), 547–561
Citation in format AMSBIB
\Bibitem{FalGau21}
\by J.~Falc\'o, P.~M.~Gauthier
\paper Approximation in measure: the Dirichlet problem, universality and~the~Riemann hypothesis
\jour Izv. Math.
\yr 2021
\vol 85
\issue 3
\pages 547--561
\mathnet{http://mi.mathnet.ru//eng/im9033}
\crossref{https://doi.org/10.1070/IM9033}
\zmath{https://zbmath.org/?q=an:1486.30147}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021IzMat..85..547F}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85110658402}
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  • https://doi.org/10.1070/IM9033
  • https://www.mathnet.ru/eng/im/v85/i3/p222
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:267
    Russian version PDF:66
    English version PDF:42
    Russian version HTML:105
    References:47
    First page:9
     
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