Advances in Difference Equations (Aug 2017)
The hybrid power mean of the generalized Gauss sums
Abstract
Abstract The main purpose of this paper is using the analytic method and the orthogonal properties of the character sums to study the computational problem of one kind hybrid power mean of the generalized Gauss sums mod p $\operatorname{mod}\ p$ , an odd prime with p ≡ 1 mod 3 $p\equiv 1\operatorname{mod}\ 3$ , and give some exact computational formulas for this kind hybrid power mean.
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