A Note on the Sixth Power Mean Value of the Generalized Quadratic Gauss Sums

被引：0
|
作者：
Ai, XiaoChuan [1 ]
Ji, XiangKun [1 ]
机构：
[1] Naval Univ Engn, Sch Sci, Wuhan, Hubei, Peoples R China
来源：
ICVISP 2019: PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON VISION, IMAGE AND SIGNAL PROCESSING | 2019年
关键词：
Gauss Sums; Dirichlet Character; Sixth Power Mean; Square-full Number;
D O I：
10.1145/3387168.3387251
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In In this paper, the sixth mean value of the generalized quadratic Gauss sums considered by Y.F. He and W.P. Zhang is further studied when module is an arbitrary square-full number. The precise calculation formula is obtained. This improves the existed research result by averting the restriction that the module being an odd square-full number.
引用
收藏
页数：6
相关论文
共 50 条
  • [41] The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
    Jin, Zhang
    Jiafan, Zhang
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [42] On the k-th power mean of one kind generalized cubic Gauss sums
    Liu, Xiaoge
    Meng, Yuanyuan
    [J]. AIMS MATHEMATICS, 2023, 8 (09): : 21463 - 21471
  • [43] A HYBRID MEAN VALUE INVOLVING A NEW GAUSS SUMS AND DEDEKIND SUMS
    Li, X. X.
    Zhang, W. P.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (06): : 1957 - 1968
  • [44] On some conjectures on generalized quadratic Gauss sums and related problems
    Bag, Nilanjan
    Rojas-Leon, Antonio
    Zhang Wenpeng
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2023, 86
  • [45] ON THE GENERALIZED QUADRATIC GAUSS SUMS AND ITS UPPER BOUND ESTIMATE
    Zhang, Jiafan
    Lv, Xingxing
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1331 - 1340
  • [46] ON THE DEDEKIND SUMS AND THE QUADRATIC GAUSS SUMS
    Wang Tingting
    Zhang Wenpeng
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 41 (01): : 77 - 83
  • [47] A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums
    Hu, Jiayuan
    Zhan, Yu
    Si, Qin
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [48] ON THE GENERAL KLOOSTERMAN SUMS AND ITS SIXTH POWER MEAN
    Li Hailong
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2006, 6 (01): : 71 - 76
  • [49] The fourth and sixth power mean of the classical Kloosterman sums
    Zhang Wenpeng
    [J]. JOURNAL OF NUMBER THEORY, 2011, 131 (02) : 228 - 238
  • [50] ON THE HYBRID MEAN VALUE OF GENERALIZED DEDEKIND SUMS, GENERALIZED HARDY SUMS AND KLOOSTERMAN SUMS
    Tian, Qing
    Wang, Yan
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (03) : 611 - 622
12345