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Representation Theory
Representation Theory
ISSN 1088-4165

A Kloosterman sum in a relative
trace formula for $GL_4$


Author: Yangbo Ye
Journal: Represent. Theory 2 (1998), 370-392
MSC (1991): Primary 11L05; Secondary 11F70, 22E55
Posted: September 16, 1998
MathSciNet review: 1641835
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Abstract: We study a Kloosterman sum for $GL_4$ and prove that it is equal to an exponential sum over a quadratic number field. This identity has applications in a relative trace formula for $GL_4$ which might be used to give a new proof of quadratic base change and characterize its image.


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Additional Information

Yangbo Ye
Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419
Email: yey@math.uiowa.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-98-00049-1
PII: S 1088-4165(98)00049-1
Received by editor(s): April 9, 1997
Received by editor(s) in revised form: August 27, 1998
Posted: September 16, 1998
Article copyright: © Copyright 1998 American Mathematical Society