@article{Ge2022, 
author = {Wenxu Ge and Weiping Li and Tianze Wang},
title = {A remark for Gauss sums of order 3 and some applications for cubic congruence equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {10671-10680},
keywords = {Gauss sum, exponential sum, diagonal cubic form, congruence equations, prime},
url = {https://www.sciopen.com/article/10.3934/math.2022595},
doi = {10.3934/math.2022595},
abstract = {In this paper, we give some relations between Gauss sums of order 3. As application, we give the number of solutions of some cubic diagonal equations. These generalize the earlier results obtained by Hong-Zhu and solve the sign problem raised by Zhang-Zhang.}
}