Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{FalGau21}
\by J.~Falc\'o, P.~M.~Gauthier
\paper Approximation in measure: the Dirichlet problem, universality and~the~Riemann hypothesis
\jour Izv. RAN. Ser. Mat.
\yr 2021
\vol 85
\issue 3
\pages 222--238
\mathnet{http://mi.mathnet.ru/im9033}
\crossref{https://doi.org/10.4213/im9033}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021IzMat..85..547F}
\transl
\jour Izv. Math.
\yr 2021
\vol 85
\issue 3
\pages 547--561
\crossref{https://doi.org/10.1070/IM9033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000671433600001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85110658402}
Linking options:
  • https://www.mathnet.ru/eng/im9033
  • 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
    Statistics & downloads:
    Abstract page:256
    Russian version PDF:62
    English version PDF:40
    Russian version HTML:97
    References:44
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024