New Identities Dealing with Gauss Sums

Wenpeng Zhang, Abdul Samad, Zhuoyu Chen
2020 Symmetry  
In this article, we used the elementary methods and the properties of the classical Gauss sums to study the problem of calculating some Gauss sums. In particular, we obtain some interesting calculating formulas for the Gauss sums corresponding to the eight-order and twelve-order characters modulo p, where p be an odd prime with p=8k+1 or p=12k+1.
doi:10.3390/sym12091416 fatcat:ggfsvki3u5dmfjuiq4smpk73ei