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

13 votes
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Do L-functions exist for Half-integral weight modular forms?

Since the original question asked only for analytic continuation, functional equation, I'd like to add that the Mellin transform $\sum a_n n^{-s}$ of the half integral weight modular form $\sum a_n \e …
Rainer Schulze-Pillot's user avatar
2 votes

Why only half-integral weight automorphic forms?

You may want to look at the following article: MR1809555 (2002b:11056) Ibukiyama, T. Modular forms of rational weights and modular varieties. Abh. Math. Sem. Univ. Hamburg 70 (2000), 315–339.
Rainer Schulze-Pillot's user avatar