Euler products associated to metaplectic automorphic forms on the 3-fold cover of $\mathrm {GSp}(4)$
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- by Thomas Goetze PDF
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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.References
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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
- © Copyright 1998 American Mathematical Society
- 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