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Funktsional. Anal. i Prilozhen., 2003, Volume 37, Issue 4, Pages 27–38 (Mi faa166)  

This article is cited in 2 scientific papers (total in 2 papers)

Generating Elements of the Annihilating Ideal for Modular Symbols

V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: In the paper, the concrete generators are found for the annihilating ideal of the modular symbols associated with $SL(s;\mathbb{Z})$. Using this result, the (co)homology of subgroups of finite index is evaluated for $SL(s;\mathbb{Z})$.

Keywords: modular form, modular element, modular symbol, Eichler–Shimura module, annihilator ideal, generators of an ideal

DOI: https://doi.org/10.4213/faa166

Full text: PDF file (171 kB)
References: PDF file   HTML file

English version:
Functional Analysis and Its Applications, 2003, 37:4, 263–272

Bibliographic databases:

UDC: 512.743+512.817
Received: 13.05.2002

Citation: V. A. Bykovskii, “Generating Elements of the Annihilating Ideal for Modular Symbols”, Funktsional. Anal. i Prilozhen., 37:4 (2003), 27–38; Funct. Anal. Appl., 37:4 (2003), 263–272

Citation in format AMSBIB
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\by V.~A.~Bykovskii
\paper Generating Elements of the Annihilating Ideal for Modular Symbols
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\yr 2003
\vol 37
\issue 4
\pages 27--38
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\zmath{https://zbmath.org/?q=an:1090.11031}
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\transl
\jour Funct. Anal. Appl.
\yr 2003
\vol 37
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\pages 263--272
\crossref{https://doi.org/10.1023/B:FAIA.0000015577.42722.21}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. A. Bykovskii, “Teoriya Eikhlera – Shimury – Manina”, Dalnevost. matem. zhurn., 9:1-2 (2009), 29–37  mathnet  elib
    2. Church T., Putman A., “The Codimension-One Cohomology of Sl(N)Z”, Geom. Topol., 21:2 (2017), 999–1032  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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