On the quartic Gauss sums and their recurrence property

@article{Shen2017OnTQ,
title={On the quartic Gauss sums and their recurrence property},
author={Shimeng Shen and W. Zhang},
journal={Advances in Difference Equations},
year={2017},
volume={2017},
pages={1-9}
}

The main purpose of this paper is, using the method of trigonometric sums and the properties of Gauss sums, to study the computational problem of one kind of congruence equation modulo an odd prime and give some interesting fourth-order linear recurrence formulas.