Abstract
The simple relation between representations of the covering groups of SL2 and GL2 makes it possible to fuse and extend the recent metaplectic results of Shimura, Waldspurger, Flicker, and ourselves. By giving a new (purely local andL-function theoretic) treatment of the Waldspurger-Shintani correspondence, we also simplify some of Waldspurger’s original results.
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Gelbart, S., Piatetski-Shapiro, I. Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Israel J. Math. 44, 97–126 (1983). https://doi.org/10.1007/BF02760615
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DOI: https://doi.org/10.1007/BF02760615