The paper relates higher-level Hurwitz class numbers from two frameworks to obtain a new basis for the Eisenstein space E_{3/2}^+(4N, id) and a generalization of Gauss' formula.
Zagier, Nombres de classes et formes modulaires de poids3/2,C
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Relations between higher level Hurwitz class numbers
The paper relates higher-level Hurwitz class numbers from two frameworks to obtain a new basis for the Eisenstein space E_{3/2}^+(4N, id) and a generalization of Gauss' formula.