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Identities of incomplete Kloosterman sums
Author(s):
Ye
Yangbo
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2591-2600.
MSC (1991):
Primary 11L05;
Secondary 11F70
Posted:
April 9, 1999
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Abstract:
Identities between incomplete Kloosterman sums and incomplete hyper-Kloosterman sums are established.
References:
- [1]
- D. Bump, W. Duke, J. Hoffstein, and H. Iwaniec, An estimate for the Hecke eigenvalues of Maass forms, Inter. Math. Res. Notices, 4 (1992), 75-81. MR 93d:11047
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- H. Davenport and H. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen, J. reine angew. Math., 172 (1935), 151-182.
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- H. Jacquet and Y. Ye, Relative Kloosterman integrals for
, Bulletin de la Société mathématique de France, 120 (1992), 263-295. MR 94c:11047 - [4]
- W. Luo, Bounds for incomplete hyper-Kloosterman sums, preprint.
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, J. reine angew. Math. 400 (1989), 57-121. MR 90i:11134 - [8]
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and their applications to base change, J. Number Theory 68 (1998), 112-130. CMP 98:07 - [11]
- D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30 (1975), 1-46. MR 52:3062
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Additional Information:
Ye
Yangbo
Affiliation:
Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419
Address at time of publication:
Department of Mathematics, The University of Hong Kong, Hong Kong
Email:
yey@math.uiowa.edu
DOI:
10.1090/S0002-9939-99-05037-6
PII:
S 0002-9939(99)05037-6
Received by editor(s):
November 18, 1997
Posted:
April 9, 1999
Additional Notes:
The author was supported in part by NSF Grant #DMS 97-01225.
Communicated by:
Dennis A. Hejhal
Copyright of article:
Copyright
1999,
American Mathematical Society
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