On the Dedekind Sums and Two-Term Exponential Sums

Citation:

Di HAN,Tingting WANG.On the Dedekind Sums and Two-Term Exponential Sums[J].Chinese Annals of Mathematics B,2015,36(4):603~612
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Authors:

Di HAN; Tingting WANG;

Foundation:

supported by the National Natural Science Foundation of China (Nos. 11371291, 11471258) and the Graduate Independent Innovation Fund of Northwest University(No.YZZ13071).
Abstract: In this paper, the authors use the analytic methods and the properties of character sums mod p to study the computational problem of one kind of mean value involving the classical Dedekind sums and two-term exponential sums, and give an exact computational formula for it.

Keywords:

Dedekind sums, Two-term exponential sums, Mean value, Computational formula

Classification:

11L40, 11F20
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