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Mathematics of the USSR-Sbornik, 1987, Volume 58, Issue 2, Pages 417–434
DOI: https://doi.org/10.1070/SM1987v058n02ABEH003112 (Mi sm1872) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Explicit duality formulas for symplectic and orthogonal Hecke operators on theta-series of positive quadratic forms

V. G. Zhuravlev
English version PDF (984 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1987v058n02ABEH003112
Abstract: The Rallis mapping is used to obtain commutation formulas for the Hecke operators of the symplectic and orthogonal groups on the space of theta-series. These formulas are applied to the multiplicative arithmetic of representations of quadratic forms by forms.
Bibliography: 15 titles.
Received: 22.04.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 130(172), Number 3(7), Pages 413–430
Bibliographic databases:
UDC: 511
MSC: Primary 11F27, 11F46, 11F70, 11E45; Secondary 11F66, 20G05, 20G30
Language: English
Original paper language: Russian
Citation: V. G. Zhuravlev, “Explicit duality formulas for symplectic and orthogonal Hecke operators on theta-series of positive quadratic forms”, Mat. Sb. (N.S.), 130(172):3(7) (1986), 413–430; Math. USSR-Sb., 58:2 (1987), 417–434
Citation in format AMSBIB
\Bibitem{Zhu86}
\by V.~G.~Zhuravlev
\paper Explicit duality formulas for symplectic and orthogonal Hecke operators on theta-series of positive quadratic forms
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 130(172)
\issue 3(7)
\pages 413--430
\mathnet{http://mi.mathnet.ru/sm1872}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=865770}
\zmath{https://zbmath.org/?q=an:0635.10021|0622.10021}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 58
\issue 2
\pages 417--434
\crossref{https://doi.org/10.1070/SM1987v058n02ABEH003112}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:108
    English version PDF:12
    References:39
     
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