Hurwitz class numbers with level and modular correspondences
نویسندگان
چکیده
In this paper, we prove Hurwitz-Eichler type formulas for Hurwitz class numbers with each level $ M when the modular curve X_0(M) has genus zero. A key idea is to calculate intersection of correspondences in two different ways. generalization Atkin-Lehner involutions \Gamma_0(M) and its subgroup \Gamma_0^{(M')}(M) introduced multiplicities at cusps.
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ژورنال
عنوان ژورنال: Research in number theory
سال: 2023
ISSN: ['2363-9555', '2522-0160']
DOI: https://doi.org/10.1007/s40993-023-00443-z