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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)

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The residual spectrum of $\mathrm {Mp}_4(\mathbf {A}_k)$
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Trans. Amer. Math. Soc. 366 (2014), 6151-6182 Request permission

Abstract:

We compute the residual spectrum of the global metaplectic group $\mathrm {Mp}_4(\mathbf {A}_k)$ by using the theory of Eisenstein series. The residual spectra obtained are interpreted as near equivalence classes in the framework of the Arthur conjecture.
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Additional Information
  • Fan Gao
  • Affiliation: Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore, 119076
  • Email: fangao.nus@gmail.com
  • Received by editor(s): December 3, 2012
  • Received by editor(s) in revised form: March 12, 2013, and April 10, 2013
  • Published electronically: May 23, 2014
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 366 (2014), 6151-6182
  • MSC (2010): Primary 11F70
  • DOI: https://doi.org/10.1090/S0002-9947-2014-06150-3
  • MathSciNet review: 3256196