Exponential Sums forGL(n) and their applications to base change

Yangbo Ye

doi:10.1006/jnth.1997.2196

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Exponential Sums forGL(n) and their applications to base change

Journal article

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Peer reviewed

Exponential Sums forGL(n) and their applications to base change

Yangbo Ye

Journal of Number Theory, Vol.68(1), pp.112-130

1998

DOI: 10.1006/jnth.1997.2196

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Abstract

We prove an identity which lifts a hyper-Kloosterman sum to an exponential sum over a quadratic extension field. The identity matches two Shalika germs of a relative trace formula for GL ( n ) which might be used to characterize the image of quadratic base change for GL ( n ).

Details

Title: Subtitle: Exponential Sums forGL(n) and their applications to base change
Creators: Yangbo Ye
Resource Type: Journal article
Publication Details: Journal of Number Theory, Vol.68(1), pp.112-130
DOI: 10.1006/jnth.1997.2196
ISSN: 0022-314X
eISSN: 1096-1658
Language: English
Date published: 1998
Academic Unit: Mathematics
Record Identifier: 9983985963702771

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