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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The residual spectrum of $ \mathrm{Mp}_4(\mathbf{A}_k)$


Author: Fan Gao
Journal: Trans. Amer. Math. Soc. 366 (2014), 6151-6182
MSC (2010): Primary 11F70
Published electronically: May 23, 2014
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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

DOI: http://dx.doi.org/10.1090/S0002-9947-2014-06150-3
PII: S 0002-9947(2014)06150-3
Keywords: Metaplectic groups, residual spectrum, Eisenstein series, Arthur conjecture
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
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.