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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Germs of Kloosterman Integrals
for $GL(3)$


Authors: Hervé Jacquet and Yangbo Ye
Journal: Trans. Amer. Math. Soc. 351 (1999), 1227-1255
MSC (1991): Primary 11F70, 11R39; Secondary 22E50
MathSciNet review: 1443878
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Abstract: In an earlier paper we introduced the concept of Shalika germs for certain Kloosterman integrals. We compute explicitly the germs in the case of the group $GL(3)$.


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Additional Information

Hervé Jacquet
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027-4408
Email: hj@math.columbia.edu

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

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02031-0
PII: S 0002-9947(99)02031-0
Keywords: Kloosterman sums, base change
Received by editor(s): July 15, 1996
Received by editor(s) in revised form: January 31, 1997
Additional Notes: The first author was supported in part by NSF Grant DMS-91-01637
Article copyright: © Copyright 1999 American Mathematical Society