Geodesic
The generalized Petersson trace formula for congruence subgroups
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 3-8

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In this paper, a generalization of the Petersson trace formula for holomorphic parabolic forms with positive even weight with respect to congruence subgroup $\Gamma_0 (N) $ of the Dirichlet character modulo $ N $ is proved 
@article{DVMG_2020_20_1_a0,
     author = {M. O. Avdeeva},
     title = {The generalized {Petersson} trace formula for congruence subgroups},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {3--8},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a0/}
}
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M. O. Avdeeva. The generalized Petersson trace formula for congruence subgroups. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 3-8. http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a0/