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Results tagged with half-integral-weight
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user 2874
Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
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Basis for modular forms of half-integral weight
Here is a standard approach: One has the Jacobi $\theta$-function
$\sum_{n = -\infty}^{\infty} e^{2 \pi i n^2 \tau}$, which is weight $1/2$
on $\Gamma_1(4)$. Thus multiplication by $\theta$ induces a …
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