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On Euler products associated with noncuspidal metaplectic forms
Authors:Shamita Dutta Gupta   Xiaotie She
Affiliation:Department of Mathematics, Florida International University, Miami, Florida 33199 ; Financial Data Planning Corporation, 2140 S. Dixie Highway, Miami, Florida 33133
Abstract:In this paper, we obtain an Euler product with functional equation associated to a noncuspidal metaplectic form $f$ on the double cover of $GL(2)$. Zagier's idea of Rankin-Selberg method is used to define the convolution of $f$ and the $theta $-function.

Keywords:Eisenstein series   automorphic forms   Fourier expansions   Euler products   functional equations
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