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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Euler products associated to metaplectic automorphic forms on the 3-fold cover of $\text{\normalfont GS\lowercase{p}}(4)$

Author: Thomas Goetze
Journal: Trans. Amer. Math. Soc. 350 (1998), 975-1011
MSC (1991): Primary 11F55, 11F30
MathSciNet review: 1401521
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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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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

Received by editor(s): November 14, 1995
Received by editor(s) in revised form: May 21, 1996
Article copyright: © Copyright 1998 American Mathematical Society