Geodesic
Decomposition of Spaces of Modular Forms
Matematičeskie zametki, Tome 99 (2016) no. 6, pp. 867-877

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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. 
@article{MZM_2016_99_6_a5,
     author = {G. V. Voskresenskaya},
     title = {Decomposition of {Spaces} of {Modular} {Forms}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {867--877},
     publisher = {mathdoc},
     volume = {99},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_6_a5/}
}
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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/