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Mathematics of the USSR-Sbornik, 1989, Volume 62, Issue 2, Pages 289–304
DOI: https://doi.org/10.1070/SM1989v062n02ABEH003241 (Mi sm2758) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Spherical theta series

A. N. Andrianov
English version PDF (715 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1989v062n02ABEH003241
Abstract: In this paper explicit formulas are obtained which express the images under the action of the Hecke operators of theta series with spherical polynomials and rational translations which correspond to integral quadratic forms in an even number of variables, in terms of linear combinations of theta series of the same type. Transformation formulas are also obtained for such theta series under the action of the integral symplectic group.
Bibliography: 7 titles.
Received: 29.04.1987
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1987, Volume 134(176), Number 3(11), Pages 291–305
Bibliographic databases:
UDC: 511
MSC: Primary 11F27, 11F46; Secondary 11E57
Language: English
Original paper language: Russian
Citation: A. N. Andrianov, “Spherical theta series”, Mat. Sb. (N.S.), 134(176):3(11) (1987), 291–305; Math. USSR-Sb., 62:2 (1989), 289–304
Citation in format AMSBIB
\Bibitem{And87}
\by A.~N.~Andrianov
\paper Spherical theta series
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 134(176)
\issue 3(11)
\pages 291--305
\mathnet{http://mi.mathnet.ru/sm2758}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=922627}
\zmath{https://zbmath.org/?q=an:0663.10029|0633.10027}
\transl
\jour Math. USSR-Sb.
\yr 1989
\vol 62
\issue 2
\pages 289--304
\crossref{https://doi.org/10.1070/SM1989v062n02ABEH003241}
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  • https://doi.org/10.1070/SM1989v062n02ABEH003241
  • https://www.mathnet.ru/eng/sm/v176/i3/p291
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:299
    Russian version PDF:97
    English version PDF:20
    References:53
    First page:2
     
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