Far Eastern Mathematical Journal

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The generalized Petersson trace formula for congruence subgroups

Avdeeva M.O.

2020, issue 1, P. 3–8 DOI: https://doi.org/10.47910/FEMJ202001

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.

Keywords: automorphic forms, trace formulas, Hecke operators, Kloosterman sums

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References

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