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Matematicheskie Zametki, 2016, Volume 99, Issue 6, Pages 867–877
DOI: https://doi.org/10.4213/mzm10582 (Mi mzm10582) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Decomposition of Spaces of Modular Forms

G. V. Voskresenskaya

Samara State University
Full-text PDF (486 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10582
Abstract: Structural theorems for spaces of modular forms with respect to congruence subgroups are proved. The Dedekind $\eta$-function plays an important role in our study.
Keywords: space of cusp forms, modular form, Dedekind $\eta$-function, $\eta$-product, Dirichlet character, Cohen–Osterle formula, Jacobi symbol, Eisenstein series, parabolic vertex.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00137a
This work was supported by the Russian Foundation for Basic Research under grant 12-01-00137a.
Received: 05.07.2014
Revised: 10.04.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 6, Pages 851–860
DOI: https://doi.org/10.1134/S0001434616050230
Bibliographic databases:
Document Type: Article
UDC: 511.334
Language: Russian
Citation: G. V. Voskresenskaya, “Decomposition of Spaces of Modular Forms”, Mat. Zametki, 99:6 (2016), 867–877; Math. Notes, 99:6 (2016), 851–860
Citation in format AMSBIB
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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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