On the degree five $L$-function for $\mathrm {GSp}(4)$
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Abstract:
We give a new integral representation for the degree five (standard) $L$-function for automorphic representations of $\mathrm {GSp}(4)$ that is a refinement of an integral representation of Piatetski-Shapiro and Rallis. The new integral representation unfolds to produce the Bessel model for $\mathrm {GSp}(4)$ which is a unique model. The local unramified calculation uses an explicit formula for the Bessel model and differs completely from that of Piatetski-Shapiro and Rallis.References
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Additional Information
- Daniel File
- Affiliation: Department of Mathematics, 14 MacLean Hall, University of Iowa, Iowa City, Iowa 52242-1419
- Email: daniel-file@uiowa.edu
- Received by editor(s): February 28, 2012
- Received by editor(s) in revised form: April 6, 2012, and May 2, 2012
- Published electronically: March 5, 2013
- Additional Notes: This work was done while the author was a graduate student at Ohio State University as part of his Ph.D. dissertation
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 6471-6497
- MSC (2010): Primary 11F66, 11F70
- DOI: https://doi.org/10.1090/S0002-9947-2013-05869-2
- MathSciNet review: 3105759