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

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Half integral weight modular forms that reduce to a nonzero constant modulo a given prime

Let $B_k = \frac{N_k}{D_k}$ be the reduced numerator and denominator of the $k$-th Bernoulli number. For a given prime $p>2$, the (unconventionally normalized) Eisenstein series $E_{p-1}(z) = N_{p-1} …
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