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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Spin $\mathrm {L}$-functions on $GSp_8$ and $Gsp_{10}$
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by Daniel Bump and David Ginzburg PDF
Trans. Amer. Math. Soc. 352 (2000), 875-899 Request permission

Abstract:

The β€œspin” 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.
References
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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
  • 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.
  • © Copyright 1999 American Mathematical Society
  • 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
  • MathSciNet review: 1473433