Estimations on some hybrid exponential sums related to Kloosterman sums

Authors: YINGJIE CHENG, XIWANG CAO, LIQIN QIAN, JINLONG WAN

Abstract: In this paper, we revisit the bounds of the mixed exponential sums introduced by Lv and Zhang (2020). Moreover, we give some estimations for some new hybrid exponential sums related to Kloosterman sums over finite fields of odd characteristic by using the properties of Jacobi sums and Gaussian sums.

Keywords: Exponential sum, Kloosterman sum, Gaussian sum, Jacobi sum

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