On the Dedekind sums and two-term exponential sums

被引:0
|
作者
Di Han
Tingting Wang
机构
[1] Northwest University,School of Mathematics
[2] Northwest A&F University,College of Science
关键词
Dedekind sums; Two-term exponential sums; Mean value; Computational formula; 11L40; 11F20;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, the authors use the analytic methods and the properties of character sums mod p to study the computational problem of one kind of mean value involving the classical Dedekind sums and two-term exponential sums, and give an exact computational formula for it.
引用
收藏
页码:603 / 612
页数:9
相关论文
共 50 条
  • [41] A new fourth power mean of two-term exponential sums
    Li, Chen
    Xiao, Wang
    OPEN MATHEMATICS, 2019, 17 : 407 - 414
  • [42] ON THE FOURTH POWER MEAN OF GENERALIZED TWO-TERM EXPONENTIAL SUMS
    Wang, Tingting
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (01) : 233 - 240
  • [43] 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
  • [44] 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
  • [45] Equidistribution of generalized Dedekind sums and exponential sums
    Jun, Byungheup
    Lee, Jungyun
    JOURNAL OF NUMBER THEORY, 2014, 137 : 67 - 92
  • [46] THE FOURTH POWER MEAN OF TWO-TERM EXPONENTIAL SUMS AND ITS APPLICATION
    Zhang Han
    Zhang Wenpeng
    MATHEMATICAL REPORTS, 2017, 19 (01): : 75 - 83
  • [47] On the fourth power mean of one special two-term exponential sums
    Zhang, Wenpeng
    Meng, Yuanyuan
    AIMS MATHEMATICS, 2023, 8 (04): : 8650 - 8660
  • [48] Retraction Note: On the fourth power mean of the two-term exponential sums
    Minhui Zhu
    Di Han
    Journal of Inequalities and Applications, 2014 (1)
  • [49] A new two-term exponential sums and its fourth power mean
    Xuexia, Wang
    Li, Wang
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (08) : 4041 - 4052
  • [50] The character sum of polynomials with k variables and two-term exponential sums
    Xu Xiaoling
    Zhang Jiafan
    Zhang Wenpeng
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (01) : 112 - 124