Root Numbers of Asai L-Functions
DSpace at IIT Bombay
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Title |
Root Numbers of Asai L-Functions
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Creator |
ANANDAVARDHANAN, UK
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Subject |
artin l-function
unitary groups distinguished representations epsilon factors local-field conjecture nonnegativity reducibility equation poles |
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Description |
Let E/F be a quadratic extension of p-adic fields. We compute the value of is an element of(1/2, pi, r,psi) for a square integrable representation pi of GL(n)(E), which is (Galois) conjugate self-dual, where r denotes the Asai representation. This is the twisted version of a well-known result due to Bushnell and Henniart. The proof makes use of a result on the corresponding global root number, which is proved by a method conceived by Lapid and Rallis.
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Publisher |
OXFORD UNIV PRESS
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Date |
2011-08-22T06:50:19Z
2011-12-26T12:56:14Z 2011-12-27T05:44:38Z 2011-08-22T06:50:19Z 2011-12-26T12:56:14Z 2011-12-27T05:44:38Z 2008 |
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Type |
Article
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Identifier |
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, (), -
1073-7928 http://dx.doi.org/10.1093/imrn/rnn125 http://dspace.library.iitb.ac.in/xmlui/handle/10054/10352 http://hdl.handle.net/10054/10352 |
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Language |
en
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