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Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.

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Necessity of conditions $N$ odd, square-free and $\chi$ quadratic in Kohnen's plus space - m...

This is not an answer and I cannot comment due to lack of reputation, but it seems to first pop up in his Lemma 4 on p. 50. This occurs after a long, very technical discussion about double coset opera …
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