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The lifting of an exponential sum to a cyclic algebraic number field of prime degree
Journal article   Open access   Peer reviewed

The lifting of an exponential sum to a cyclic algebraic number field of prime degree

Yangbo Ye
Transactions of the American Mathematical Society, Vol.350(12), pp.5003-5015
12/01/1998
DOI: 10.1090/S0002-9947-98-02001-7
url
https://doi.org/10.1090/S0002-9947-98-02001-7View
Published (Version of record) Open Access

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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