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Mathematics of the USSR-Sbornik, 1977, Volume 33, Issue 3, Pages 343–373
DOI: https://doi.org/10.1070/SM1977v033n03ABEH002428 (Mi sm2947) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On factorization of Hecke polynomials for the sympletic group of genus $n$

A. N. Andrianov
English version PDF (1806 kB) Citations (13)
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DOI: https://doi.org/10.1070/SM1977v033n03ABEH002428
Abstract: We consider the problem of finding relations between the Fourier coefficients of Siegel modular forms which are eigenfunctions for the Hecke operators, and the corresponding eigenvalues. We obtain a qualitative solution of the problem (Theorem 8.1). The method is based on studying connections between representations of the Hecke rings of the symplectic group and the special linear group on spaces of Fourier coefficients of Siegel modular forms.
Bibliography: 10 titles.
Received: 23.05.1977
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1977, Volume 104(146), Number 3(11), Pages 390–427
Bibliographic databases:
UDC: 519.4
MSC: Primary 10D05, 10D20; Secondary 20G30, 10C30
Language: English
Original paper language: Russian
Citation: A. N. Andrianov, “On factorization of Hecke polynomials for the sympletic group of genus $n$”, Mat. Sb. (N.S.), 104(146):3(11) (1977), 390–427; Math. USSR-Sb., 33:3 (1977), 343–373
Citation in format AMSBIB
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\paper On~factorization of Hecke polynomials for the sympletic group of genus~$n$
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\yr 1977
\vol 104(146)
\issue 3(11)
\pages 390--427
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\transl
\jour Math. USSR-Sb.
\yr 1977
\vol 33
\issue 3
\pages 343--373
\crossref{https://doi.org/10.1070/SM1977v033n03ABEH002428}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:318
    Russian version PDF:121
    English version PDF:12
    References:51
    First page:2
     
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