A Kuznetsov Formula for Kloosterman Sums on GLn

Yangbo Ye

doi:10.1023/A:1009863932342

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A Kuznetsov Formula for Kloosterman Sums on GLn

Journal article

Peer reviewed

A Kuznetsov Formula for Kloosterman Sums on GLn

Yangbo Ye

The Ramanujan Journal, Vol.4(4), pp.385-395

12/2000

DOI: 10.1023/A:1009863932342

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Abstract

We prove a Kuznetsov sum formula for Kloosterman sums on GL n corresponding to the big Bruhat cell. Using this formula, a weighted sum of Kloosterman sums can be expressed in spectral decomposition. A non-trivial estimate of the spectral side might lead to a proof of cancellations in sums of Kloosterman sums on GL n.

spectral decomposition

relative trace formula

Fourier Analysis

Functions of a Complex Variable

trace formula

Field Theory and Polynomials

Mathematics

Number Theory

Combinatorics

Kloosterman sums

GL ( n )

Details

Title: Subtitle: A Kuznetsov Formula for Kloosterman Sums on GLn
Creators: Yangbo Ye - Department of Mathematics The University of Iowa Iowa City Iowa 52242-1419
Resource Type: Journal article
Publication Details: The Ramanujan Journal, Vol.4(4), pp.385-395
Publisher: Kluwer Academic Publishers; Dordrecht
DOI: 10.1023/A:1009863932342
ISSN: 1382-4090
eISSN: 1572-9303
Language: English
Date published: 12/2000
Academic Unit: Mathematics
Record Identifier: 9983985942702771

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