On the two-term exponential sums and character sums of polynomials

被引:0
|
作者
Ma, Yuankui [1 ]
Zhang, Wenpeng [1 ]
机构
[1] Xian Technol Univ, Sch Sci, Xian, Shaanxi, Peoples R China
来源
OPEN MATHEMATICS | 2019年 / 17卷
关键词
two-term exponential sums; character sums of polynomials; hybrid power mean; analytic method; asymptotic formula; DIRICHLET CHARACTERS; GAUSS SUMS;
D O I
10.1515/math-2019-0107
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo p, an odd prime, and acquire several accurate asymptotic formulas for them.
引用
收藏
页码:1239 / 1248
页数:10
相关论文
共 50 条
  • [41] ON THE FOURTH POWER MEAN OF THE GENERALIZED TWO-TERM EXPONENTIAL SUMS
    Duan Ran
    Zhang Wenpeng
    MATHEMATICAL REPORTS, 2020, 22 (3-4): : 205 - 212
  • [42] A new fourth power mean of two-term exponential sums
    Li, Chen
    Xiao, Wang
    OPEN MATHEMATICS, 2019, 17 : 407 - 414
  • [43] ON THE FOURTH POWER MEAN OF GENERALIZED TWO-TERM EXPONENTIAL SUMS
    Wang, Tingting
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (01) : 233 - 240
  • [44] An identity involving the mean value of two-term character sums
    Guo, Xiaoyan
    Wang, Jingzhe
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [45] On the mean value of the two-term exponential sums with Dirichlet characters
    Xu Zhefeng
    Zhang Tianping
    Zhang Wenpeng
    JOURNAL OF NUMBER THEORY, 2007, 123 (02) : 352 - 362
  • [46] An identity involving the mean value of two-term character sums
    Xiaoyan Guo
    Jingzhe Wang
    Journal of Inequalities and Applications, 2013
  • [47] Hybrid mean value involving some two-term exponential sums and fourth Gauss sums
    Xu, Zhefeng
    Liu, Xiaoying
    Chen, Luyao
    ELECTRONIC RESEARCH ARCHIVE, 2025, 33 (03): : 1510 - 1522
  • [48] ON BILINEAR EXPONENTIAL AND CHARACTER SUMS WITH RECIPROCALS OF POLYNOMIALS
    Shparlinski, Igor E.
    MATHEMATIKA, 2016, 62 (03) : 842 - 859
  • [49] THE FOURTH POWER MEAN OF TWO-TERM EXPONENTIAL SUMS AND ITS APPLICATION
    Zhang Han
    Zhang Wenpeng
    MATHEMATICAL REPORTS, 2017, 19 (01): : 75 - 83
  • [50] On the fourth power mean of one special two-term exponential sums
    Zhang, Wenpeng
    Meng, Yuanyuan
    AIMS MATHEMATICS, 2023, 8 (04): : 8650 - 8660