Open AccessThe generalized Petersson trace formula for congruence subgroups
Author(s) -
Maria Avdeeva
Publication year - 2020
Publication title -
dal nevostochnyi matematicheskii zhurnal
Language(s) - English
Resource type - Journals
ISSN - 1608-845X
DOI - 10.47910/femj202001
Subject(s) - modulo , congruence (geometry) , congruence subgroup , mathematics , holomorphic function , trace (psycholinguistics) , generalization , pure mathematics , dirichlet distribution , congruence relation , selberg trace formula , character (mathematics) , combinatorics , mathematical analysis , riemann hypothesis , linguistics , geometry , philosophy , boundary value problem
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
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