Geodesic
Exact Cutting in Spaces of Cusp Forms with Characters
Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 818-830

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Structure theorems for spaces of cusp forms with quadratic characters are presented. It is proved that such spaces of levels $N \ne 3,17,19$ admit exact cutting if and only if the cutting function is a multiplicative $\eta$-product. The cases of the levels $N=3,17,19$ are also studied.
Keywords: modular form, Dedekind eta-function
Mots-clés : cusp form, parabolic vertex. 
@article{MZM_2018_103_6_a1,
     author = {G. V. Voskresenskaya},
     title = {Exact {Cutting} in {Spaces} of {Cusp} {Forms} with {Characters}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {818--830},
     publisher = {mathdoc},
     volume = {103},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a1/}
}
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G. V. Voskresenskaya. Exact Cutting in Spaces of Cusp Forms with Characters. Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 818-830. http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a1/