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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2021, Volume 85, Issue 3, Pages 222–238
DOI: https://doi.org/10.4213/im9033
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. RAN. Ser. Mat., 85:3 (2021), 222–238; Izv. Math., 85:3 (2021), 547–561
Citation in format AMSBIB
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\paper Approximation in measure: the Dirichlet problem, universality and~the~Riemann hypothesis
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\pages 222--238
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  • 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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    Russian version PDF:55
    English version PDF:34
    Russian version HTML:87
    References:35
    First page:9
     
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