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

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Why only half-integral weight automorphic forms?

Why is that the theory of automorphic forms concentrates on the case of half-integral weight? I read in Borel's book "Automorphic forms on $SL_2$" (Section 18.5) that by considering the finite or univ …
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