A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums

被引：0
|
作者：
Hu, Jiayuan [1 ]
Zhan, Yu [2 ]
Si, Qin [1 ]
机构：
[1] Hetao Coll, Dept Math & Comp Sci, Bayannur, Peoples R China
[2] Hetao Coll, Dept Civil Engn, Bayannur, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
NUMBER;
D O I：
10.1155/2021/7003549
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is using analytic methods and the properties of the Dedekind sums to study one kind hybrid power mean calculating problem involving the Dedekind sums and cubic Gauss sum and give some interesting calculating formulae for it.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] ON THE MEAN VALUES OF DEDEKIND SUMS AND HARDY SUMS
    Liu, Huaning
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (01) : 187 - 213
  • [42] On hybrid mean value of Dedekind sums and two-term exponential sums
    Wang, Tingting
    Zhang, Wenpeng
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (03) : 557 - 563
  • [43] A hybrid power mean of the two-term exponential sums and the reciprocal of the quartic Gauss sums
    Zhang Wenpeng
    Chen Zhuoyu
    [J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019, 62 (02): : 191 - 198
  • [44] The hybrid mean value of Dedekind sums and two-term exponential sums
    Chang Leran
    Li Xiaoxue
    [J]. OPEN MATHEMATICS, 2016, 14 : 436 - 442
  • [45] The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums
    Han, Xue
    Wang, Tingting
    [J]. AIMS MATHEMATICS, 2024, 9 (02): : 3722 - 3739
  • [46] On hybrid mean value of Dedekind sums and two-term exponential sums
    Tingting Wang
    Wenpeng Zhang
    [J]. Frontiers of Mathematics in China, 2011, 6
  • [47] On Gauss sums over Dedekind domains
    Zheng, Zhiyong
    Chen, Man
    Xu, Jie
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (05) : 1047 - 1063
  • [48] An identity involving Dedekind sums and generalized Kloosterman sums
    Le Huan
    Jingzhe Wang
    Tingting Wang
    [J]. Czechoslovak Mathematical Journal, 2012, 62 : 991 - 1001
  • [49] An identity involving Dedekind sums and generalized Kloosterman sums
    Huan, Le
    Wang, Jingzhe
    Wang, Tingting
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (04) : 991 - 1001
  • [50] On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums
    Liu, Xinyu
    Zhang, Wenpeng
    [J]. MATHEMATICS, 2019, 7 (10)
12345