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Russian Mathematical Surveys, 1979, Volume 34, Issue 1, Pages 75–148
DOI: https://doi.org/10.1070/RM1979v034n01ABEH002872
(Mi rm4017)
 

This article is cited in 35 scientific papers (total in 35 papers)

The multiplicative arithmetic or Siegel modular forms

A. N. Andrianov
References:
Received: 15.08.1978
Bibliographic databases:
Document Type: Article
UDC: 511.944
Language: English
Original paper language: Russian
Citation: A. N. Andrianov, “The multiplicative arithmetic or Siegel modular forms”, Russian Math. Surveys, 34:1 (1979), 75–148
Citation in format AMSBIB
\Bibitem{And79}
\by A.~N.~Andrianov
\paper The multiplicative arithmetic or Siegel modular forms
\jour Russian Math. Surveys
\yr 1979
\vol 34
\issue 1
\pages 75--148
\mathnet{http://mi.mathnet.ru/eng/rm4017}
\crossref{https://doi.org/10.1070/RM1979v034n01ABEH002872}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525651}
\zmath{https://zbmath.org/?q=an:0427.10017|0418.10027}
Linking options:
  • https://www.mathnet.ru/eng/rm4017
  • https://doi.org/10.1070/RM1979v034n01ABEH002872
  • https://www.mathnet.ru/eng/rm/v34/i1/p67
  • This publication is cited in the following 35 articles:
    1. Claudius Heyer, “On the Decomposition of Hecke Polynomials over Parabolic Hecke Algebras”, Journal de théorie des nombres de Bordeaux, 34:3 (2023), 941  crossref
    2. Siegfried Böcherer, Soumya Das, “ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS”, J. Inst. Math. Jussieu, 21:6 (2022), 2001  crossref
    3. Salvatore Mercuri, “Algebraicity of metaplectic L-functions”, Journal of Number Theory, 219 (2021), 109  crossref
    4. Salvatore Mercuri, “p‐adic L‐functions on metaplectic groups”, J. London Math. Soc., 102:1 (2020), 229  crossref
    5. Soumya Das, “Cuspidality and the growth of Fourier coefficients of modular forms : A survey”, Indian J Pure Appl Math, 47:1 (2016), 9  crossref
    6. Siegfried Böcherer, Soumya Das, “Characterization of Siegel cusp forms by the growth of their Fourier coefficients”, Math. Ann, 2013  crossref
    7. Andrianov, A, “Interaction sums and action of Hecke operators on theta-series”, Acta Arithmetica, 140:3 (2009), 271  crossref  mathscinet  zmath  isi  elib
    8. A. A. Panchishkin, “The Maass–Shimura differential operators and congruences between arithmetical Siegel modular forms”, Mosc. Math. J., 5:4 (2005), 883–918  mathnet  crossref  mathscinet  zmath
    9. [Anonymous], “Non-Archimedean l-Functions and Arithmetical Siegel Modular Forms”, Non-Archimedean l-Functions and Arithmetical Siegel Modular Forms, 2nd Augmented Ed, Lecture Notes in Mathematics, 1471, Springer-Verlag Berlin, 2004, 13+  isi
    10. A. N. Andrianov, “The action of Hecke operators on theta functions with rational characteristics”, St. Petersburg Math. J., 15:5 (2004), 715–732  mathnet  crossref  mathscinet  zmath
    11. Youngju Choie, Winfried Kohnen, Developments in Mathematics, 10, Number Theory and Modular Forms, 2003, 45  crossref
    12. S. Raghavan, Number Theory, 2000, 315  crossref
    13. S. Raghavan, Number Theory, 2000, 315  crossref
    14. Noritomo Kozima, “On special values of standard L-functions attached to vector valued Siegel modular forms”, Kodai Math. J., 23:2 (2000)  crossref
    15. Takumi Noda, “On the zeros of symmetric square L-functions”, Kodai Math. J., 22:1 (1999)  crossref
    16. Yoshiyuki Kitaoka, “A space of Siegel modular forms closed under the action of Hecke operators”, Proc. Japan Acad. Ser. A Math. Sci., 70:6 (1994)  crossref
    17. Hideshi TAKAYANAGI, “Vector valued Siegel modular forms and their L-functions; Application of a differential operator”, Jpn. j. math, 19:2 (1993), 251  crossref
    18. Shin-ichiro Mizumoto, “Poles and residues of standardL-functions attached to Siegel modular forms”, Math. Ann., 289:1 (1991), 589  crossref
    19. W. Kohnen, “CertainL-series of Ranking-Selberg type associated to Siegel modular forms of degreeg”, Math. Ann., 288:1 (1990), 697  crossref
    20. V. A. Gritsenko, “Expantion of Hecke polynomials of classical groups”, Math. USSR-Sb., 65:2 (1990), 333–356  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
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    Abstract page:554
    Russian version PDF:210
    English version PDF:41
    References:74
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