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Open AccessArticle

New Identities Dealing with Gauss Sums

School of Mathematics, Northwest University, Xi’an 710127, Shaanxi, China
Author to whom correspondence should be addressed.
Symmetry 2020, 12(9), 1416;
Received: 9 August 2020 / Revised: 18 August 2020 / Accepted: 24 August 2020 / Published: 26 August 2020
(This article belongs to the Special Issue Symmetry in Geometric Functions and Mathematical Analysis)
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. View Full-Text
Keywords: Gauss sums; elementary method; identity; calculating formula Gauss sums; elementary method; identity; calculating formula
MDPI and ACS Style

Zhang, W.; Samad, A.; Chen, Z. New Identities Dealing with Gauss Sums. Symmetry 2020, 12, 1416.

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