New Identities Dealing with Gauss Sums

@article{Zhang2020NewID,
  title={New Identities Dealing with Gauss Sums},
  author={W. Zhang and Abdul Samad and Zhuoyu Chen},
  journal={Symmetry},
  year={2020},
  volume={12},
  pages={1416}
}
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. 
1 Citations
The Mean Values of Character Sums and Their Applications

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