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Questions about modular forms and related areas

7 votes
1 answer
181 views

(Binary) Theta functions and Atkin's U-operator

Let $D<0$ be a fundamental discriminant and consider the theta series $$\vartheta_Q(\tau)=\sum_{v\in\mathbb{Z}^2} q^{Q(v)}$$ associated to a quadratic form $Q$ of discriminant $D$. It appears to be tr …