Estimations on some hybrid exponential sums related to Kloosterman sums

Authors

YINGJIE CHENG
XIWANG CAO
LIQIN QIAN
JINLONG WAN

DOI

10.3906/mat-2010-89

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

First Page

797

Last Page

819

Recommended Citation

CHENG, YINGJIE; CAO, XIWANG; QIAN, LIQIN; and WAN, JINLONG (2021) "Estimations on some hybrid exponential sums related to Kloosterman sums," Turkish Journal of Mathematics: Vol. 45: No. 2, Article 11. https://doi.org/10.3906/mat-2010-89
Available at: https://journals.tubitak.gov.tr/math/vol45/iss2/11