Questions tagged [half-integral-weight]
Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
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Do L-functions exist for Half-integral weight modular forms?
Classically, we can attach $L$-functions (with properties like, analytic continuation, functional equation) to Dirichlet characters, Hecke eigenforms, etc...
My question is: can one attach $L$-...
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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 ...
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Odd powers of the theta function as eigenforms
Is it "well-known" which odd powers of the theta function are eigenforms for the half-integral weight Hecke operators? If so, what is a good reference? Is there a slick algorithm for proving ...
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