Spin $\mathrm {L}$-functions on $GSp_8$ and $Gsp_{10}$
Authors:
Daniel Bump and David Ginzburg
Journal:
Trans. Amer. Math. Soc. 352 (2000), 875-899
MSC (1991):
Primary 11F66, 11F46; Secondary 11F70
DOI:
https://doi.org/10.1090/S0002-9947-99-02174-1
Published electronically:
July 7, 1999
MathSciNet review:
1473433
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Abstract | References | Similar Articles | Additional Information
Abstract: The βspinβ 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
Keywords:
Spin L-functions
Received by editor(s):
January 7, 1997
Received by editor(s) in revised form:
May 26, 1997
Published electronically:
July 7, 1999
Additional Notes:
This work was supported in part by NSF Grant DMS-9622819.
Article copyright:
© Copyright 1999
American Mathematical Society