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Spin L-functions on $GSp_{8}$ and $GSp_{10}$

Author(s): Daniel Bump; David Ginzburg
Journal: Trans. Amer. Math. Soc. 352 (2000), 875-899.
MSC (1991): Primary 11F66, 11F46; Secondary 11F70
Posted: July 7, 1999
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Abstract: The ``spin'' L-function of an automorphic representation of $GSp_{2n}$ is an Euler product of degree $2^{n}$ associated with the spin representation of the L-group $\mathrm{GSpin}(2n+1)$. If $n=4$ or $5$, and the automorphic representation is generic in the sense of having a Whittaker model, the analytic properties of these L-functions are studied by the Rankin-Selberg method.

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Additional Information:

Daniel Bump
Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305
Email: bump@math.stanford.edu

David Ginzburg
Affiliation: School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
Email: ginzburg@math.tau.ac.il

DOI: 10.1090/S0002-9947-99-02174-1
PII: S 0002-9947(99)02174-1
Keywords: Spin L-functions
Received by editor(s): January 7, 1997
Received by editor(s) in revised form: May 26, 1997
Posted: July 7, 1999
Additional Notes: This work was supported in part by NSF Grant DMS-9622819.
Copyright of article: Copyright 1999, American Mathematical Society

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