On Classical Gauss Sums and Some of Their Properties

被引：32
作者：
Chen, Li [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 11期
基金：
中国国家自然科学基金;
关键词：
third-order character; classical Gauss sums; rational polynomials; analytic method; recursive formula; EXPONENTIAL-SUMS; POWER;
D O I：
10.3390/sym10110625
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The goal of this paper is to solve the computational problem of one kind rational polynomials of classical Gauss sums, applying the analytic means and the properties of the character sums. Finally, we will calculate a meaningful recursive formula for it.
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页数：6
相关论文
共 13 条
[1]  
[Anonymous], 1979, Introduction to number theory
[2]  
Apostol T.M., 1976, INTRO ANAL NUMBER TH
[3]   THE DETERMINATION OF GAUSS SUMS [J].
BERNDT, BC ;
EVANS, RJ .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 5 (02) :107-129
[4]   SUMS OF GAUSS, JACOBI, AND JACOBSTHAL [J].
BERNDT, BC ;
EVANS, RJ .
JOURNAL OF NUMBER THEORY, 1979, 11 (03) :349-398
[5]   L functions of some exponential sums of finite classical groups [J].
Chae, HJ ;
Kim, DS .
MATHEMATISCHE ANNALEN, 2003, 326 (03) :479-487
[6]  
[陈丽 Chen Li], 2018, [数学学报, Acta Mathematica Sinica], V61, P67
[7]   On the fourth-order linear recurrence formula related to classical Gauss sums [J].
Chen Zhuoyu ;
Zhang Wenpeng .
OPEN MATHEMATICS, 2017, 15 :1251-1255
[8]  
Kim H. S., 1995, Rep. Fac. Sci. Engrg. Saga Univ. Math., V23, P1
[9]  
Kim T, 2005, RUSS J MATH PHYS, V12, P186
[10]   The hybrid power mean of quartic Gauss sums and Kloosterman sums [J].
Li Xiaoxue ;
Hu Jiayuan .
OPEN MATHEMATICS, 2017, 15 :151-156
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