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The generalized Petersson trace formula for congruence subgroups
M. O. Avdeeva Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Abstract:
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
Key words:
automorphic forms, trace formulas, Hecke operators, Kloosterman sums.
Received: 19.05.2020
Citation:
M. O. Avdeeva, “The generalized Petersson trace formula for congruence subgroups”, Dal'nevost. Mat. Zh., 20:1 (2020), 3–8
Linking options:
https://www.mathnet.ru/eng/dvmg414 https://www.mathnet.ru/eng/dvmg/v20/i1/p3
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