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

Ye, Yangbo

doi:10.1090/S0002-9947-98-02001-7

The lifting of an exponential sum to a cyclic algebraic number field of prime degree
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Trans. Amer. Math. Soc. 350 (1998), 5003-5015 Request permission

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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