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Mathematics of the USSR-Sbornik, 1973, Volume 21, Issue 4, Pages 499–509
DOI: https://doi.org/10.1070/SM1973v021n04ABEH002031 (Mi sm3423) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On zeta-functions of infinite-dimensional representations

M. E. Novodvorskii, I. I. Pyatetskii-Shapiro
English version PDF (586 kB) Citations (3)
References:
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DOI: https://doi.org/10.1070/SM1973v021n04ABEH002031
Abstract: In this paper we consider the group of similitudes of a nondegenerate symmetric or antisymmetric bilinear form over a global field.
For representations of this group, realized as functions on the factor-space of the adèles of this group modulo the principal adèles, we construct certain zeta-functions possessing an Euler product and a meromorphic continuation.
Bibliography: 7 titles.
Received: 03.05.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1973, Volume 92(134), Number 4(12), Pages 507–517
Bibliographic databases:
UDC: 519.4
MSC: Primary 12A70; Secondary 10C15
Language: English
Original paper language: Russian
Citation: M. E. Novodvorskii, I. I. Pyatetskii-Shapiro, “On zeta-functions of infinite-dimensional representations”, Mat. Sb. (N.S.), 92(134):4(12) (1973), 507–517; Math. USSR-Sb., 21:4 (1973), 499–509
Citation in format AMSBIB
\Bibitem{NovPya73}
\by M.~E.~Novodvorskii, I.~I.~Pyatetskii-Shapiro
\paper On~zeta-functions of infinite-dimensional representations
\jour Mat. Sb. (N.S.)
\yr 1973
\vol 92(134)
\issue 4(12)
\pages 507--517
\mathnet{http://mi.mathnet.ru/sm3423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=412110}
\zmath{https://zbmath.org/?q=an:0323.12017}
\transl
\jour Math. USSR-Sb.
\yr 1973
\vol 21
\issue 4
\pages 499--509
\crossref{https://doi.org/10.1070/SM1973v021n04ABEH002031}
Linking options:
  • https://www.mathnet.ru/eng/sm3423
  • https://doi.org/10.1070/SM1973v021n04ABEH002031
  • https://www.mathnet.ru/eng/sm/v134/i4/p507
    Erratum
    • Letter to the Editor
      I. I. Pyatetskii-Shapiro, M. E. Novodvorskii
      Mat. Sb. (N.S.), 1975, 97(139):2(6), 316
    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:275
    Russian version PDF:90
    English version PDF:9
    References:45
     
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