A Kloosterman sum in a relative trace formula for 𝐺𝐿₄

Ye, Yangbo

doi:10.1090/S1088-4165-98-00049-1

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ISSN 1088-4165

A Kloosterman sum in a relative
trace formula for

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 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 which might be used to give a new proof of quadratic base change and characterize its image.

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