Geodesic
Decomposition of Spaces of Modular Forms
Matematičeskie zametki, Tome 99 (2016) no. 6, pp. 867-877 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, Eisenstein series
Mots-clés : Jacobi symbol, parabolic vertex. 
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     title = {Decomposition of {Spaces} of {Modular} {Forms}},
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G. V. Voskresenskaya. Decomposition of Spaces of Modular Forms. Matematičeskie zametki, Tome 99 (2016) no. 6, pp. 867-877. http://geodesic.mathdoc.fr/item/MZM_2016_99_6_a5/

[1] K. Ono, The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-Series, CBMS Region. Conf. Ser. Math., 102, Amer. Math. Soc., Providence, RI, 2004 | MR | Zbl

[2] N. Koblits, Vvedenie v ellipticheskie krivye i modulyarnye formy, Mir, M., 1988 | MR | Zbl

[3] D. Dummit, H. Kisilevsky, J. MacKay, “Multiplicative products of $\eta$-functions”, Finite groups – coming of age, Contemp. Math., 45, Amer. Math. Soc., Providence, RI, 1985, 89–98 | DOI | MR | Zbl

[4] G. V. Voskresenskaya, “One special class of modular forms and group representations”, J. Théor. Nombres Bordeaux, 11:1 (1999), 247–262 | DOI | MR | Zbl

[5] Y. Martin, “Multiplicative $\eta$-quotients”, Trans. Amer. Math. Soc., 348:12 (1996), 4825–4856 | DOI | MR | Zbl