scholarly journals On the k-polygonal numbers and the mean value of Dedekind sums

2016 ◽  
Vol 66 (2) ◽  
pp. 409-415
Author(s):  
Jing Guo ◽  
Xiaoxue Li
Keyword(s):  
Mean Value ◽  
Dedekind Sums ◽  
Polygonal Numbers ◽  
The Mean

scholarly journals The hybrid mean value of Dedekind sums and two-term exponential sums

2016 ◽  
Vol 14 (1) ◽  
pp. 436-442
Author(s):  
Chang Leran ◽  
Li Xiaoxue
Keyword(s):  
Asymptotic Formula ◽  
Exponential Sums ◽  
Mean Value ◽  
Gauss Sums ◽  
Mean Value Theorem ◽  
Dedekind Sums ◽  
Hybrid Mean Value ◽  
The Mean ◽  
Interesting Identity

AbstractIn this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.

scholarly journals Mean Value of the General Dedekind Sums over Interval \({[1,\frac{q}{p})}\)

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2079
Author(s):  
Lei Liu ◽  
Zhefeng Xu
Keyword(s):  
Character Sums ◽  
Mean Value ◽  
Dedekind Sums ◽  
Hybrid Mean Value ◽  
Asymptotic Formulae ◽  
The Mean

Let q>2 be a prime, p be a given prime with p<q. The main purpose of this paper is using transforms, the hybrid mean value of Dirichlet L-functions with character sums and the related properties of character sums to study the mean value of the general Dedekind sums over interval [1,qp), and give some interesting asymptotic formulae.

scholarly journals A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Xiaowei Pan ◽  
Xiaoyan Guo
Keyword(s):  
Mean Value ◽  
Gauss Sums ◽  
Kloosterman Sums ◽  
Mean Value Theorem ◽  
Dedekind Sums ◽  
Hybrid Mean Value ◽  
The Mean ◽  
Interesting Identity

In this paper, we use the mean value theorem of Dirichlet L -functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for it.

scholarly journals On the mean value of the two-term Dedekind sums

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Kang Xiaoyu ◽  
Wu Zhengang
Keyword(s):  
Mean Value ◽  
Dedekind Sums ◽  
The Mean

scholarly journals On the Mean Value of Dedekind Sums

2001 ◽  
Vol 87 (2) ◽  
pp. 173-188 ◽  
Author(s):  
Chaohua Jia
Keyword(s):  
Mean Value ◽  
Dedekind Sums ◽  
The Mean

scholarly journals On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Di Han ◽  
Wenpeng Zhang
Keyword(s):  
Mean Value ◽  
Gauss Sums ◽  
Kloosterman Sums ◽  
Mean Value Theorem ◽  
Dedekind Sums ◽  
Hybrid Mean Value ◽  
The Mean

The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of DirichletL-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.

The mean value involving Dedekind sums and two-term exponential sums

2011 ◽  
Vol 55 (3) ◽  
pp. 557-565 ◽  
Author(s):  
TingTing Wang ◽  
XiaoWei Pan
Keyword(s):  
Exponential Sums ◽  
Mean Value ◽  
Dedekind Sums ◽  
The Mean

On the mean value formula of dedekind sums

1999 ◽  
Vol 15 (2) ◽  
pp. 245-254 ◽  
Author(s):  
Xiali He ◽  
Wenpeng Zhang
Keyword(s):  
Mean Value ◽  
Dedekind Sums ◽  
The Mean ◽  
Mean Value Formula

The Properties of Analogous to Dedekind Sums

2013 ◽  
Vol 734-737 ◽  
pp. 3224-3227
Author(s):  
Ming Shun Yang
Keyword(s):  
Mean Value ◽  
Mean Value Theorem ◽  
Dedekind Sums ◽  
Mean Square ◽  
Distribution Problem ◽  
The Mean

The distribution problem of a sum analogous to Dedekind sums is studied by using the mean value theorem of the DirichletL-functions and the property of Dedekind sums , and an interesting mean square value formula is given.

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