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A kloosterman sum in a relative trace formula for GL4
Journal article   Peer reviewed

A kloosterman sum in a relative trace formula for GL4

Yangbo Ye
Representation theory, Vol.2(10), pp.370-392
1998
DOI: 10.1090/S1088-4165-98-00049-1

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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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