On Euler products associated with noncuspidal metaplectic forms

Authors:
Shamita Dutta Gupta and Xiaotie She

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2203-2212

MSC (1991):
Primary 11F55; Secondary 11F30

DOI:
https://doi.org/10.1090/S0002-9939-00-05593-3

Published electronically:
February 25, 2000

MathSciNet review:
1707145

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we obtain an Euler product with functional equation associated to a noncuspidal metaplectic form on the double cover of . Zagier's idea of Rankin-Selberg method is used to define the convolution of and the -function.

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Additional Information

**Shamita Dutta Gupta**

Affiliation:
Department of Mathematics, Florida International University, Miami, Florida 33199

Email:
duttagus@fiu.edu

**Xiaotie She**

Affiliation:
Financial Data Planning Corporation, 2140 S. Dixie Highway, Miami, Florida 33133

Email:
xiaoties@fdpcorp.com

DOI:
https://doi.org/10.1090/S0002-9939-00-05593-3

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

Received by editor(s):
September 8, 1998

Published electronically:
February 25, 2000

Communicated by:
Dennis A. Hejhal

Article copyright:
© Copyright 2000
American Mathematical Society