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Transactions of the American Mathematical Society
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The lifting of an exponential sum to a cyclic algebraic number field of prime degree

Author(s): Yangbo Ye
Journal: Trans. Amer. Math. Soc. 350 (1998), 5003-5015.
MSC (1991): Primary 11L05; Secondary 11F70
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Abstract: Let $E$ be a cyclic algebraic number field of prime degree. We prove an identity which lifts an exponential sum similar to the Kloosterman sum to an exponential sum taken over certain algebraic integers in $E$.


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Additional Information:

Yangbo Ye
Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419
Email: yey@math.uiowa.edu

DOI: 10.1090/S0002-9947-98-02001-7
PII: S 0002-9947(98)02001-7
Received by editor(s): May 13, 1996
Received by editor(s) in revised form: December 9, 1996
Copyright of article: Copyright 1998, American Mathematical Society


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