On hybrid mean value of Dedekind sums and two-term exponential sums

被引：3
|
作者：
Wang, Tingting [1 ]
Zhang, Wenpeng [1 ]
机构：
[1] Northwest Univ, Dept Math, Xian 710127, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2011年 / 6卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Dedekind sums; two-term exponential sums; mean value; computational formula;
D O I：
10.1007/s11464-011-0132-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use the elementary and analytic methods to study the computational problem of one kind mean value involving the classical Dedekind sums and two-term exponential sums, and give two exact computational formulae for them.
引用
收藏
页码：557 / 563
页数：7
相关论文
共 50 条
  • [1] On hybrid mean value of Dedekind sums and two-term exponential sums
    Tingting Wang
    Wenpeng Zhang
    [J]. Frontiers of Mathematics in China, 2011, 6
  • [2] The hybrid mean value of Dedekind sums and two-term exponential sums
    Chang Leran
    Li Xiaoxue
    [J]. OPEN MATHEMATICS, 2016, 14 : 436 - 442
  • [3] The mean value involving Dedekind sums and two-term exponential sums
    WANG TingTing & PAN XiaoWei Department of Mathematics
    [J]. Science China Mathematics, 2012, 55 (03) : 557 - 565
  • [4] The mean value involving Dedekind sums and two-term exponential sums
    TingTing Wang
    XiaoWei Pan
    [J]. Science China Mathematics, 2012, 55 : 557 - 565
  • [5] The mean value involving Dedekind sums and two-term exponential sums
    Wang TingTing
    Pan XiaoWei
    [J]. SCIENCE CHINA-MATHEMATICS, 2012, 55 (03) : 557 - 565
  • [6] On the Dedekind sums and two-term exponential sums
    Di Han
    Tingting Wang
    [J]. Chinese Annals of Mathematics, Series B, 2015, 36 : 603 - 612
  • [7] On the Dedekind Sums and Two-Term Exponential Sums
    Di HAN
    Tingting WANG
    [J]. Chinese Annals of Mathematics,Series B, 2015, 36 (04) : 603 - 612
  • [8] ON THE HYBRID MEAN VALUE OF COCHRANE SUMS AND TWO-TERM EXPONENTIAL SUMS
    Wang Tingting
    Zhang Wenpeng
    [J]. MATHEMATICAL REPORTS, 2012, 14 (04): : 355 - 362
  • [9] On the Dedekind Sums and Two-Term Exponential Sums
    Han, Di
    Wang, Tingting
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (04) : 603 - 612
  • [10] On the mean value of the two-term Dedekind sums
    Kang Xiaoyu
    Wu Zhengang
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
12345