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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 6(107), Pages 5–12 (Mi vsgu371)  
Mathematics

The structure of modular form: the phenomen of the section

G. V. Voskresenskaya

Samara State University, Samara, 443011, Russian Federation
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Abstract: In the article we study the structure of spaces of modular forms $S_k(\Gamma_0(N),\chi)$ and $M_k(\Gamma_0(N),\chi)$ for the levels $N$ such that for a value $k_0~$ $S_{k_0}(\Gamma_0(N),\chi)$ is a one-dimensional space generated by a multiplicative $\eta$-product.
Keywords: spaces of modular forms, Dedekind eta-function, parabolic vertex.
Received: 22.05.2013
Revised: 22.05.2013
Document Type: Article
UDC: 511.334
Language: Russian
Citation: G. V. Voskresenskaya, “The structure of modular form: the phenomen of the section”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 6(107), 5–12
Citation in format AMSBIB
\Bibitem{Vos13}
\by G.~V.~Voskresenskaya
\paper The structure of modular form: the phenomen of the section
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 6(107)
\pages 5--12
\mathnet{http://mi.mathnet.ru/vsgu371}
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