A hybrid mean value of the Dedekind sums

被引:0
|
作者
Hai Yang
机构
[1] Xi’an Jiaotong University,Research Center for Basic Science
来源
Czechoslovak Mathematical Journal | 2010年 / 60卷
关键词
Dedekind sums; Dirichlet ; -function; mean value; 11L40; 11F20; 11M20;
D O I
暂无
中图分类号
学科分类号
摘要
The main purpose of this paper is to use the M. Toyoizumi’s important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.
引用
收藏
页码:1055 / 1063
页数:8
相关论文
共 50 条
  • [31] On the even power mean of a sum analogous to dedekind sums
    Liu, H
    Zhang, W
    ACTA MATHEMATICA HUNGARICA, 2005, 106 (1-2) : 67 - 81
  • [32] ON THE DEDEKIND SUMS AND THE QUADRATIC GAUSS SUMS
    Wang Tingting
    Zhang Wenpeng
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 41 (01): : 77 - 83
  • [33] A hybrid mean value involving a new sum and Kloosterman sums
    Wang, Xiaohan
    Li, Xiaoxue
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [34] A hybrid mean value involving Cochrane sums and a new sum analogous to Kloosterman sums*
    Zhang, Wenpeng
    LITHUANIAN MATHEMATICAL JOURNAL, 2016, 56 (01) : 127 - 132
  • [35] Mean values of Goss L-functions and Dedekind sums
    Hamahata, Yoshinori
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2015, 85 (02): : 187 - 196
  • [36] Mean values of generalized Dedekind sums over short intervals
    Liu, Lei
    Xu, Zhefeng
    Wang, Ni
    ACTA ARITHMETICA, 2020, 193 (01) : 95 - 108
  • [37] Mean values of Goss L-functions and Dedekind sums
    Yoshinori Hamahata
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2015, 85 : 187 - 196
  • [38] On the Mean Value of the Square of a Generalized Dedekind Sum
    Xie Min
    Zhang Wenpeng
    The Ramanujan Journal, 2001, 5 : 227 - 236
  • [39] On the mean value of the square of a generalized Dedekind sum
    Min, X
    Wenpeng, Z
    RAMANUJAN JOURNAL, 2001, 5 (03) : 227 - 236
  • [40] Mean value of Ramanujan sum and Cochrane sums
    Wang, Xiao
    Wang, Jiankang
    Xu, Zhefeng
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (03): : 355 - 373