Euler products associated to metaplectic automorphic forms on the 3-fold cover of $\mathrm {GSp}(4)$
Author:
Thomas Goetze
Journal:
Trans. Amer. Math. Soc. 350 (1998), 975-1011
MSC (1991):
Primary 11F55, 11F30
DOI:
https://doi.org/10.1090/S0002-9947-98-01817-0
MathSciNet review:
1401521
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Abstract | References | Similar Articles | Additional Information
Abstract: If $\phi$ is a generic cubic metaplectic form on GSp(4), that is also an eigenfunction for all the Hecke operators, then corresponding to $\phi$ is an Euler product of degree 4 that has a functional equation and meromorphic continuation to the whole complex plane. This correspondence is obtained by convolving $\phi$ with the cubic $\theta$-function on GL(3) in a Shimura type Rankin-Selberg integral.
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Additional Information
Thomas Goetze
Affiliation:
IBM, 4000 Executive Parkway Suite 300, San Ramon, California 94583
Address at time of publication:
Pacific Bell, 2600 Camino Ramon 15200W, San Ramon, California 94583
Email:
tegoetz@srv.pacbell.com
Received by editor(s):
November 14, 1995
Received by editor(s) in revised form:
May 21, 1996
Article copyright:
© Copyright 1998
American Mathematical Society