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Algebra i Analiz, 2021, Volume 33, Issue 4, Pages 107–124 (Mi aa1771)  

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

The set of zeros of the Riemann zeta function as the point spectrum of an operator

V. V. Kapustin

С.-Петербургское отделение Математического института им. В. А. Стеклова РАН, наб. р. Фонтанки, д. 27, 191023 С.-Петербург, Россия
References:
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00565_а
Received: 23.06.2020
English version:
St. Petersburg Mathematical Journal, 2022, Volume 33, Issue 4, Pages 661–673
DOI: https://doi.org/10.1090/spmj/1720
Document Type: Article
Language: Russian
Citation: V. V. Kapustin, “The set of zeros of the Riemann zeta function as the point spectrum of an operator”, Algebra i Analiz, 33:4 (2021), 107–124; St. Petersburg Math. J., 33:4 (2022), 661–673
Citation in format AMSBIB
\Bibitem{Kap21}
\by V.~V.~Kapustin
\paper The set of zeros of the Riemann zeta function as the point spectrum of an operator
\jour Algebra i Analiz
\yr 2021
\vol 33
\issue 4
\pages 107--124
\mathnet{http://mi.mathnet.ru/aa1771}
\transl
\jour St. Petersburg Math. J.
\yr 2022
\vol 33
\issue 4
\pages 661--673
\crossref{https://doi.org/10.1090/spmj/1720}
Linking options:
  • https://www.mathnet.ru/eng/aa1771
  • https://www.mathnet.ru/eng/aa/v33/i4/p107
  • This publication is cited in the following 10 articles:
    1. V. V. Kapustin, “Ksi-funktsiya Rimana i modifitsirovannye funktsii Besselya”, Algebra i analiz, 36:2 (2024), 48–69  mathnet
    2. V. V. Kapustin, “Operatory Gilberta — Poia v prostranstvakh Kreina”, Sib. matem. zhurn., 65:1 (2024), 87–91  mathnet  crossref
    3. S. A. Badonova, “O prostranstve de Branzha, svyazannom s dzeta-funktsiei Rimana”, Vestn. SamU. Estestvennonauchn. ser., 30:2 (2024), 7–11  mathnet  crossref
    4. V. V. Kapustin, “Hilbert–Pólya Operators in Krein Spaces”, Sib Math J, 65:1 (2024), 72  crossref
    5. V. V. Kapustin, “The Mellin Transform, De Branges Spaces, and Bessel Functions”, J Math Sci, 282:4 (2024), 511  crossref
    6. V. V. Kapustin, “Schrödinger Operator with Morse Potential and Zeros of the Riemann Zeta Function”, Math. Notes, 111:2 (2022), 312–315  mathnet  crossref  crossref  isi
    7. V. V. Kapustin, “Preobrazovanie Mellina, prostranstva de Branzha i funktsii Besselya”, Issledovaniya po lineinym operatoram i teorii funktsii. 50, Zap. nauchn. sem. POMI, 512, POMI, SPb., 2022, 88–94  mathnet
    8. V. V. Kapustin, “Five Hilbert Space Models Related to the Riemann Zeta Function”, J Math Sci, 268:6 (2022), 791  crossref
    9. V. V. Kapustin, “Pyat modelei v gilbertovykh prostranstvakh, svyazannykh s dzeta-funktsiei Rimana”, Issledovaniya po lineinym operatoram i teorii funktsii. 49, Zap. nauchn. sem. POMI, 503, POMI, SPb., 2021, 84–96  mathnet
    10. Vladimir Kapustin, “The Riemann Zeta Function and Kernels of Toeplitz Operators”, Lobachevskii J Math, 42:4 (2021), 791  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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