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Open AccessFeature PaperArticle

A Note on the Classical Gauss Sums

by Tingting Wang 1 and Guohui Chen 2,*
1
College of Science, Northwest A & F University, Yangling 712100, China
2
School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 313; https://doi.org/10.3390/math6120313
Received: 17 November 2018 / Revised: 5 December 2018 / Accepted: 6 December 2018 / Published: 8 December 2018
(This article belongs to the Special Issue Special Polynomials)
The main purpose of this paper is to study the computational problem of one kind rational polynomials of the classical Gauss sums, and using the purely algebraic methods and the properties of the character sums mod p (a prime with p 1 mod 12 ) to give an exact evaluation formula for it. View Full-Text
Keywords: Twelfth-order character mod p; classical Gauss sums; rational polynomials; analytic method; evaluation formula Twelfth-order character mod p; classical Gauss sums; rational polynomials; analytic method; evaluation formula
MDPI and ACS Style

Wang, T.; Chen, G. A Note on the Classical Gauss Sums. Mathematics 2018, 6, 313.

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